Chapters

- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 10
- Solution of exercise 1
- Solution of exercise 2
- Solution of exercise 3
- Solution of exercise 4
- Solution of exercise 5
- Solution of exercise 6
- Solution of exercise 7
- Solution of exercise 8
- Solution of exercise 9
- Solution of exercise 10

## Exercise 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?

## Exercise 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?

## Exercise 3

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

## Exercise 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.

## Exercise 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.

## 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.

## Exercise 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.

## Exercise 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.

## Exercise 9

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

## Exercise 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.

## Solution of exercise 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

## Solution of exercise 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?

## Solution of exercise 3

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

## Solution of exercise 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.

## Solution of exercise 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.

## Solution of 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.

## Solution of exercise 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.

## Solution of exercise 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.

The shaded portion consists of two circular segments.

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

## Solution of exercise 9

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

## Solution of exercise 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.

Did you like

this resource?

Bravo!

Download it in pdf format by simply entering your e-mail!

{{ downloadEmailSaved }}

## Leave a Reply