# AREA AND CIRCUMFERENCE IF A CIRCLE WORD PROBLEMS WORKSHEET

Problem 1 :

A circle has a radius of 6 cm. A square has a side of length 12 cm.

Work out the difference between the area of the circle and the area of the square. Give your answer correct to one decimal place

Solution

Problem 2 :

The top of a table is a circle. The radius of the top of the table is 50 cm.

(a) Work out the area of the top of the table. The base of the table is a circle. The diameter of the base of the table is 40 cm.

(b) ………………………cm

Work out the circumference of the base of the table.

Solution

Problem 3 :

The diagram shows two small circles inside a large circle. The large circle has a radius of 8 cm. Each of the two small circles has a diameter of 4 cm.

(a) Write down the radius of each of the small circles.

(b) Work out the area of the region shown shaded in the diagram. Give your answer correct to one decimal place.

Solution

Problem 4 :

If the area of the circle is 154 cm2. Its perimeter is :

Solution

Problem 5 :

The radius of the circle whose area is equal to sum of areas of the two circles of radii 24 cm and 7 cm is ________

Solution

Problem 6 :

What is the area of quadrant of a circle whose radius is 14 cm?

Solution

Problem 7 :

What is the radius of a circle if its perimeter and area are numerically equal.

Solution

Problem 8 :

The length of a minute hand of a clock is 14 cm. find the area swept by the minute hand in 5 minutes.

Solution

Problem 9 :

Find the area of quadrant of a circle whose circumference is 22 cm.

Solution

Problem 10 :

What is the ratio of area of two circles whose circumference are in ratio 3:4

Solution

1)  30.96 cm2

2)  a)  Area of the top of the table is 7850 cm2

b)  125.6 cm

3)  a)  Radius of small circles are 2 cm.

b)  169.6 cm2

4)  14 π cm

5)  radius of the large circle is 25 cm.

6)   616 cm2

7)   the radius of the circle is 2 cm.

8)   51.28 cm2

9)  r = 6.16 cm

10)  the ratio between area of the circles is 9 : 16.

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