AREA OF A CIRCLE WORD PROBLEMS WORKSHEET

Problem 1 :

The inner part of an athletics track is lawn. Find the area of the lawn.

Solution

Example 2 :

A door has the dimensions shown.

(a)  How high is the door at its highest point ?

(b)  What is the area of the door in square meters ?

Solution

Example 3 :

Find the area of the shaded region.

Solution

Example 4  :

A circular table top has a diameter of 1.6 m. A rectangular tablecloth 2 m by 2 m is placed over the table top. What area of the tablecloth overlaps the table ?

Solution

Example 5 :

Consider a square within a circle. 

(a)  Find the area of:

i) the circle

ii) the shaded triangle

iii) the square.

(b) What percentage of the circle is occupied by the square ?

Solution

Example 6 :

(a)  Find the shaded area.

(b) Find the sum of the perimeters of the two circles.

Solution

Example 7 :

A circular rug is laid on a tiled floor. Find

a) the area of the rug

b) the visible area of the tiled floor.

Solution

Example 8 :

A gardener is making a path using 8 cylindrical concrete pavers. Each paver has a radius of 20 cm and is 5 cm thick.

(a)  Find the total area of the tops of the pavers.

(b)  Find the total volume of the pavers

Solution

Answers :

(1)  9820 m²

(2)  (a)  220 cm  (b)   1.69 m²

(3)  7.26 m².

(4)  1.98 m²

(5)  (i)  314 cm²  (ii)   50 cm²  (iii)  200 cm²

(6)  (a)  58.92 m²   (b)  47.14 m.

(7)   (a)  4.52 m²  (b)  13.68 m²

(8)   (a)  1.01 m²  (b)  0.0503 m³

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