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2. Finds the area of
a given circle.

4. Explore and Discover
Grace wants to buy a round photo frame
for her sister. The radius of the photo
frame is 8 cm. What is the area of the
photo frame?
What is asked in the problem? the area
of the round photo frame ?
Do you know how to find the area of a
circle?

5. The area of a circle is the number of square units
inside that circle.
If each square in the circle to the left has an area
of 1 cm2, you could count the total number of
squares to get the area of this circle. Thus, if
there were a total of 28.26 squares, the area of
this circle would be 28.26 cm2.

6. However, it is easier to use one of the
following formulas:
𝐴 = 𝜋𝑟 2 or 𝐴 = 𝜋 • r • r
Where: A = Area
r = radius and
𝜋 = 3.14

7. Let’s find the area of the photo frame
Grace wants to buy using the formula.

8. Therefore, the area of the
round photo frame Grace
wants to buy is 200.96 cm2.

9. Read each item carefully. Circle the letter
of the correct answer.
1. What is the area of the given circle?
A. 6.28 cm2
B. 12.56 cm2
C. 25.12 cm2
D. 50.24 cm2

10. 2. A circle has a radius of 10 dm. Find its
area.
A. 15.70 dm2 B. 31.40 dm2
C. 62.80 dm2 D. 314 dm2
3. What is the area of a circle with a
diameter of 12 cm?
A. 113.04 cm2 B. 37.68 cm2
C. 18.84 cm2 D. 9.42 cm2

11. 4. Find the area of a round plate with a
radius of 3 dm.
A.282.6 dm2 B. 28.26 dm2
C. 2.286 dm2 D. 0.2286 dm2
5. John Luis drew a circle that has a
diameter of 14 cm. What is the area of
his circle?
A. 1538.6 cm2 B. 153.86 cm2
C. 15.386 cm2 D. 1.5386 cm2

12. “May no gift too small to give, nor too
simple to receive, which is wrapped in
thoughtfulness, and tied with love.” L.O.
Balrd Being thoughtful to our loved ones
makes them feel valued and loved. Do
you value your parents, brothers or
sisters? How do you show your
thoughtfulness to them?

13. How to find the
area of a circle?

14. Directions: Read each item carefully.
Write the letter of the correct answer.
1. What is the area of the given circle?
A. 7.065 m2
B. 70.65 m2
C. 706.5 m2
D. 7 065 m2

15. 2. A circle has a radius of 10 cm. What is
its area?
A. 15.7 cm2 B. 31.4 cm2
C. 62.8 cm2 D. 314 cm2
3. Find the area of a circle with a
diameter of 8 cm.
A. 50.24 cm2 B. 50.2 cm2
C. 5.024cm2 D. 5.02 cm2

16. 4. If a circle has a diameter of 30 dm,
what is its area?
A. 706.5 dm2 B. 70.65 dm2
C. 7.065 dm2 D. 0.7065 dm2
5. The radius of a circle measures 7 m.
Find its area.
A. 15.386 m2 B. 153.86 m2
C. 1538.6 m2 D. 15 386 m2

17. A. Directions: Find the area of the circle given
the diameter. Fill in the table. (Use π = 3.14).

19. What is the
area of this
circle?

20. Since the formula is only given in terms
of radius, remember to change from
diameter to radius when necessary.
The radius is equal to half the diameter.
What is the radius of the given circle?

21. 4cm ÷ 2 = 2 cm
Therefore, the area of the circle with a
diameter of 4 cm is 12.56 𝑐𝑚2 .

22. Find the area of the following figures.

23. Complete the table.

24. Directions: God wants you to honor and
respect your parents. Do something extra
nice for them everyday and let love and
harmony live in your family. Calculate the
area of the following and write the letter of
the correct answer in the corresponding box
to know the hidden word. Use π = 3.14

26. How to find the
area of a circle?

27. Directions: Find the area of the circle.
Write the letter of the correct answer.

30. Solves routine and
non-routine problems
involving the area of a
circle

31. Discover the hidden word by finding the area
of each circle given the diameter or radius.

33. What is asked in the problem?
The maximum area the goat can graze.
What is the shape of the maximum area
that the goat can graze?
Circle

34. Therefore, we must find the area of the circle
to find out the maximum area the goat can
graze.
We will use the formula A= 𝜋r 2 to find the
area of the circle.
What do you think is the measure of the
radius of the circle?

35. The radius is equal to the length of
the rope which is 3.5 m.
Let us solve for the maximum area the goat
can graze.

36. Therefore, the
maximum area that
the goat can graze is
38.465 m2.

37. Let us solve another word problem.
Kelsey bought a circular rug that is 12
inches in diameter. Find the area of the
rug.
(Radius is equal to one half of the
diameter. 12 ÷ 2 = 6).

38. The area of the rug is 113.04 in2.

39. Directions: Analyse the problem and
answer the questions that follow.
Jayne has a very large circular lollipop
that has a diameter of 10 inches. What
would the area of Jayne’s lollipop be?
1. What is asked in the problem?
________________________________

40. 2. What is the radius of the lollipop?
_____________________________
3. What is the formula for getting the area
of the circle?
_________________________________
4. What is the value of Pi (𝜋) ?
___________________________
5. What is the answer?
___________________________

41. Directions: Read and solve the problem.
1. While going home, Ronald saw a truck
wheel with a radius of 3 feet. He solved
for the area of the wheel. What do you
think did he get? Answer:
____________________

42. How to solve routine
and non-routine
problems involving the
area of a circle?

43. Directions: Tick (/) the box with the correct
area of the following word problems.
1. A dinner plate has a radius of 7
centimeters. What is its area?

44. 2. What is the area of a 12-inch pizza?
3. Jayson is painting a large circle on one
wall of his new apartment. The largest
distance across the circle will be 8 feet.
How many square feet of wall will the
circle cover?

45. 4. Juan is making a collage and puts
together a circle made out of various
pieces of construction paper. The circle
has a radius of 20 cm. What is the area
of his circle?

46. 5. Juanita’s circular table has a diameter
of 4 feet. She wants to know the area of
the table. What is the area of her table?

47. An extension of a house is circular in shape with a
diameter of 8 meters. Find its approximate area.

49. Remember, in solving word
problems, there are steps to
follow. Study the table below and
make sure you understand how
this is done. You may ask your
teacher should you find it hard.

51. Directions: Fill in the missing numbers in
solving these word problems.
1. The radius of a circular pond is 8
meters. Find its area.

52. 2. The diameter of a drum is 20 dm. What
is the area covered on the ground where
the drum stands?

53. 1. A lawn sprinkler sprays water 5 ft in
every direction as it rotates. What is the
area of the sprinkled lawn?

54. 2. The diameter of the metal disk is 18
cm. Find the area of the metal disc.

55. Directions: Read and solve the
problem.
1. Grace has a silver plate whose
area is 78.5 sq cm, while Luis has
one whose diameter is 12. Who
has the bigger plate? Answer:
__________________

56. How to solve routine and
non-routine problems
involving the area of a
circle?

57. 1. Jessie is making a circular table cloth
for an art project. He wants half of the
table cloth to be made of plain-colored
fabric and half to be made of printed
fabric. If the diameter of the table is 6
feet, what will be the area of the printed
part?
A. 28.26 m2 B. 26.28 m2
C. 14.13 m2 D. 13.14 m2

58. 2. Luis skates in a circular rink that has a
diameter of 10 yards. If he uses 3.14 for ,
what is the area of the skating rink?
A. 78.5 sq. yards
B. 58.7 sq. yards
C. 87.5 sq. yards
D. 85.5 sq. yards

60. Remember, in solving word
problems, there are steps to
follow. Study the table below and
make sure you understand how
this is done. You may ask your
teacher should you find it hard.

62. Let us read the problem below and solve it using
the 4 – steps in solving word problem.
A circular clock with a radius of 15cm is attached
on a wall. How much area of the wall did it
occupy? The first step in solving problem is to
UNDERSTAND the problem. In here, you are
going to identify what is being asked and what
is/are the given fact/s. The second step is PLAN.

63. Find an appropriate strategy. The third
step is Solve. You have to apply or
perform the identified strategy using the
given formula. The fourth step is Check.
Verify if the answer is correct. Let us put
it this way so that you could understand
better. Using the above given problem, let
us fill in the steps;

65. Directions: Read the situation carefully and
answer the questions that follow.
A circular park has a radius of 60 meters.
What is its area?
1. What is asked in the problem?
_________________
2. What is the given fact?
____________________________________

66. 3. What is the operation to be used?
__________________
4. What is the formula?
_________________________________
5. What is the complete answer?
_________________________________

67. If you own the goat, what do
you think is better to use, a
shorter rope or a longer rope?
Why? Do you also have
animals to take care of? How
do you take care of them?

68. How to solve routine
and non-routine
problems involving the
area of a circle?

69. 1. Find the
area of
circular
playground
whose
radius
measures 6
meters