Circle Worksheet

1The wheel of a truck has a radius of 90 cm. How far has the truck travelled when the wheel has rotated 100 times?

2A lighthouse sweeps its light across the horizon with an angle of rotation of 128 degrees. If the maximum range of the beacon is 7 miles, what is the maximum length of the corresponding arc?

3A circle has a circumference of 43.96 cm. What is the area of the circle?

4The area of a circular sector of 90° is 4π cm. Find the radius and length of the circle to which this sector belongs to.

5Calculate the area of a circular sector whose chord is the side of an inscribed equilateral triangle in a circle with a 2 cm radius.

6The surface of a table consists of a square of 1 m per side and two semicircles attached on either opposite end. Calculate the area of the table.

7Calculate the shaded area of the figure below if the radius of the larger circle is 6 cm and the radius of the smaller circles are 2 cm.

Area of a Circle Problem

8Find the area of the shaded portion of the square ABCD if AB = 10 cm, and APC, AQC are center circle arcs from their centre points B and D respectively.

Circular Segment Problem

9Calculate the area of the square inscribed in a circle with a circumference of 18.84 cm.

10A regular hexagon of side 4 cm has a circle inscribed and another circumscribed around its shape. Find the area enclosed between these two concentric circles.

1

The wheel of a truck has a radius of 90 cm. How far has the truck travelled when the wheel has rotated 100 times?

r = 90 : 100 = 0.9 m

L = 2 · π · 0.9 = 5.65 m

5.65 · 100 = 565 m


2

A lighthouse sweeps its light across the horizon with an angle of rotation of 128 degrees. If the maximum range of the beacon is 7 miles, what is the maximum length of the corresponding arc?

Circle Exercise

Circle Solution


3

A circle has a circumference of 43.96 cm. What is the area of the circle?

Circle Exercise

Circle Operations

Circle Solution


4

The area of a circular sector of 90° is 4π cm. Find the radius and length of the circle to which this sector belongs to.

Circle Exercise

Circle Operations

Circle Operations

Circle Solution


5

Calculate the area of a circular sector whose chord is the side of an inscribed equilateral triangle in a circle with a 2 cm radius.

Circular Segment



Circle Exercise


6

The surface of a table consists of a square of 1 m per side and two semicircles attached on either opposite end. Calculate the area of the table.

Area of a Circle Problem


Circle Exercise

Circle Solution


7

Calculate the shaded area of the figure below if the radius of the larger circle is 6 cm and the radius of the smaller circles are 2 cm.

Area of a Cirle Problem


Circle Exercise

Circle Operations

Circle Solution


8

Find the area of the shaded portion of the square ABCD if AB = 10 cm, and APC, AQC are center circle arcs from their centre points B and D respectively.

Circular Segment Problem

The shaded portion consists of two circular segments.

Circular Segment ProblemCircular Segment Problem


Calculate the area of both circular segments if the circular area of the segment = area of the circular sector − area of triangle.

Circle Exercise

Circle Operations

Circle Operations

Circle Solution


9

Calculate the area of the square inscribed in a circle with a circumference of 18.84 cm.

Area of a Circle Problem

Circle Exercise

Circle Operations

Circle Solution


10

A regular hexagon of side 4 cm has a circle inscribed and another circumscribed around its shape. Find the area enclosed between these two concentric circles.

Concentric Circles Problem

Circle Exercise

Circle Operations

Circle Solution




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