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Grade 8 - Mathematics
3.31 Area of a Circle - 2

Example:
The circumference of a circle is 56.6 cm. Find its area.

Solution:
If r is the radius of a circle, we have
Circumference (C) = 2pr
Therefore, the area of the circle = p r2
A = p(C/2p)2
A = C2 / 4p
Given that,
C = 56.5cm.
A = (56.5)2/4 * 7/22
A = 22345.75/ 88
A = 253.93 Sq. cm.
Therefore, the area of he circle (A) = 253.93 Sq. cm. (Answer is corrected by two decimal place)


Directions: Solve the following problems and correct the answer two decimal places. Also write at least ten examples of your own.
Q 1: The circumference of a circle is 58.6 cm. Find its area.
273.16 Sq.cm.
272.16 Sq.cm.
271.16 Sq.cm.
274.16 Sq.cm.

Q 2: The circumference of a circle is 28.6 cm. Find its area.
63.07 Sq.cm.
65.07 Sq.cm.
66.07 Sq.cm.
64.07 Sq.cm.

Q 3: The circumference of a circle is 64.7 cm. Find its area.
333.98 Sq.cm.
331.98 Sq.cm.
None of these
332.98 Sq.cm.

Q 4: The circumference of a circle is 81.9 cm. Find its area.
533.56 Sq.cm.
532.56 Sq.cm.
534.56 Sq.cm.
531.56 Sq.cm.

Q 5: The circumference of a circle is 36.5 cm. Find its area.
104.97 Sq.cm.
107.97 Sq.cm.
106.97 Sq.cm.
105.97 Sq.cm.

Q 6: The circumference of a circle is 19.5 cm. Find its area.
30.25 Sq.cm.
29.25 Sq.cm.
31.25 Sq.cm.
28.25 Sq.cm.

Q 7: The circumference of a circle is 44.8 cm. Find its area.
158.65 Sq.cm.
159.65 Sq.cm.
156.65 Sq.cm.
None of these

Q 8: The circumference of a circle is 96.4 cm. Find its area.
738.21 Sq.cm.
737.21 Sq.cm.
739.21 Sq.cm.
740.21 Sq.cm.

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Question 10: This question is available to subscribers only!


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