Area and circumference_of_a_circle
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This document discusses the formulas for calculating the circumference and area of circles. It defines circumference as π x diameter and area as π x radius squared. It provides examples of using these formulas to find the circumference and area of various circles. Finally, it poses two questions asking the reader to apply the formulas to calculate the circumference and area of two additional circles.
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The document discusses calculating the circumference and area of circles using pi and radius or diameter. It provides examples of calculating circumference given the diameter or radius. It also discusses calculating the area of a circle using the radius and the formula area = π x radius2. Finally, it asks the reader to find the area of a circle with a 12cm diameter and 4cm radius without looking back at prior examples.
2 Dimensional Shapes 2
The document discusses calculating the circumference and area of circles using pi and radius or diameter. It provides examples of calculating circumference given the diameter or radius. It also discusses calculating the area of a circle using the radius and the formula area = π x radius2. Finally, it asks the reader to find the area of a circle with a 12cm diameter and 4cm radius without looking back at prior examples.
Shape and space: areas
This document provides information on calculating the area and perimeter of basic shapes. It defines key terms like area, perimeter, dimensions, and circumference. Formulas are provided for calculating the perimeter of rectangles, triangles, circles, parallelograms, trapezoids, and the area of triangles, rectangles, parallelograms, trapezoids, and circles. Examples are given for calculating perimeter and area of various shapes. Practice problems are included for applying the formulas.
004 area of circles
This document contains information about geometry concepts including circles, special right triangles, and regular polygons. It provides formulas to find the area and circumference of circles using the radius or diameter. It also gives the formula for finding the area of a regular polygon using the apothem and central angle. Several examples show how to apply these formulas to calculate missing values for various circles and polygons.
Surface Area and Volume
This document provides information on calculating surface area and volume for various 3D shapes including prisms, cylinders, pyramids and more. It defines key terms like surface area, volume, and includes formulas and examples for finding the surface area and volume of rectangular and triangular prisms, cylinders, and pyramids using measurements of lengths, widths, heights, radii, etc. Practice problems are provided throughout for additional examples of calculating surface area and volume.
Surface 20area-20and-20volume-
This document provides information on calculating surface area and volume for various 3D shapes including prisms, cylinders, pyramids and more. It defines key terms like surface area, volume, and includes formulas and examples for finding the surface area and volume of rectangular and triangular prisms, cylinders, and pyramids using measurements of lengths, widths, heights, radii, etc. Practice problems are provided throughout for additional examples of calculating surface area and volume.
Concept of similar figures
The document discusses calculating the perimeter and area of shaded regions made up of semi-circles. For the first figure with a large semi-circle of diameter 28 cm and two small semi-circles of diameter 14 cm, it is shown that the perimeter is 88 cm and the area of the shaded region is 154 cm2. For the second figure with a large semi-circle of radius 30 cm and three small semi-circles of radius 10 cm, the perimeter is 188 cm and the area of the shaded region is 942 cm2. Alternative methods using ratios of radii are also presented.
Circumference and area of cirlce
This document defines perimeter, circumference, and area of different shapes. It provides the following definitions:
Perimeter is the distance around a geometric figure. Circumference is the distance around a circle, which is calculated by multiplying the diameter by pi. The area of a rectangle is calculated by multiplying its length by its width. The area of a triangle is half the product of its base and height. The area of a circle is calculated by multiplying pi by the square of the radius. Examples are given for calculating each measurement.
Perimeter area circumference
This document defines perimeter, circumference, and area of different shapes. It provides the following formulas:
Perimeter is the distance around a figure and is calculated by adding all the side lengths. Circumference is the distance around a circle and is calculated using the formula C=πd, where d is the diameter.
The area of a rectangle is calculated by multiplying its length and width (A=l×w). The area of a triangle is half the product of its base and height (A=1/2bh). The area of a circle is the product of π and the square of the radius (A=πr^2).
Circles diameter
1. The document discusses circles and the relationships between their circumference, diameter, and radius. It provides examples of measuring circular objects and calculating circumference from diameter and vice versa.
2. The key relationship discussed is that the ratio of a circle's circumference to its diameter is a constant called pi (π), approximately 3.14.
3. Examples are given of calculating circumference from diameter and radius using the formulas C = πd and C = 2πr.
10.2 circles 1
This document provides instruction on calculating the area and circumference of circles. It defines key circle terminology like diameter, radius, and circumference. It presents the formulas for calculating circle area (A = πr^2) and circumference (C = πd or C
Area of circles
The document explains how to calculate the area of a circle. It first discusses the difference between circumference and area. It then shows how a circle can be cut up and rearranged to form a parallelogram. This allows the area formula for a parallelogram, Area = Base x Height, to be used. The base is equal to half the circumference which is equal to radius x pi. The height is equal to the radius. Therefore, the area of a circle is equal to the radius squared times pi. Some examples are provided to illustrate calculating the area of different circles using this formula.
004 area of circles
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Area and circumference_of_a_circle
- 1. Geometry Area and Circumference of a Circle
- 2. Circumference circumference Circumference = diameter π × diameter
- 3. Area Area radius = π × radius × radius = π × radius2 area
- 4. C ircumference is π x diameter π x diameter π x diameter Circumference is π x diameter Area is πr2
- 5. Example 1 Find the circumference of this circle circumference Circumference = π × diameter 4cm Circumference =π×4 = 12·57cm (2 d.p.)
- 6. Example 2 Find the circumference of this circle circumference Circumference = π × diameter 8cm Circumference = π × 16 = 50·27cm (2 d.p.)
- 7. Example 1 Find the area of this circle Area = π × radius × radius 7cm Area = π×7×7 area = 153·94cm² (2 d.p.)
- 8. Example 2 Find the area of this circle Area = π × radius × radius 10cm Area area = π×5×5 = 78·54cm² (2 d.p.)
- 9. Question 1 Find the circumference and area of this circle Circumference = π × diameter Circumference = π × 9 = 28·27cm (2 d.p.) 9cm Area = π × radius × radius Area = π × 4·5 × 4·5 = 63·62cm² (2 d.p.)
- 10. Question 2 Find the circumference and area of this circle Circumference = π × diameter Circumference = π × 12 = 37·70cm (2 d.p.) 6 cm Area = π × radius × radius Area = π × 4·5 × 4·5 = 113·10cm² (2 d.p.)