Question

a circular wood with an area of 202 pi cm sq has a smaller circle cut out from it. The area of the remaining piec is 121 pi cm sq. find the area of the smaller circle and the radius of the smaller circle

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The area of smaller circle is $81 \pi$ and radius of smaller circle is 9 cm

Step-by-step explanation:

Area of remaining circle =$121 \pi$

Area of big circle =$202 \pi$

$121 \pi = 202 \pi - \pi r^2 \\121 = 202 -r^2 \\r=\sqrt{202-121}$

r=9

Area of remaining piece = Area of big circle - Area of small circle

Area of smaller circle =$\pi r^2 = \pi \times 9^2 =81 \pi$

Hence The area of smaller circle is $81 \pi$ and radius of smaller circle is 9 cm

#Learn more:

Find the radius and area of circle if circumference is 31.4 cm and take pie=3.14.

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