Mensuration Practice Test 7

Question : 28 of 40

Marks: +1, -0

A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. The area of the circle is:
[Take π = 88/7]

Solution:

Perimeter of rectangle = Circumference of circle
2 (l + b) = 2πr
2 (18 + 26) =

2×{22}/7 × r

88 =

2×{22}/7 × r

r =

7/{22} × 1/2 × 88

r = 14 cm.
Area of circle =

πr^2

{22}/7 × 14 × 14

616 cm^2

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