Q). find area of circle whose circumference is 22cm ?
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Answer:
circumference=22cm
2πr = 22
2 × 22/7 × r = 22
r = 22 × 7/22 × 1/2
r=3.5 cm
area = π r^2
= [22/7 × 3.5 × 3.5 ] cm^2
=38.5 cm^2
Step-by-step explanation:
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Given :
- The circumference of the circle is 22cm.
To Find :
- Find the area of the circle ?
Solution :
- Circumference of circle = 22cm.
➣ 22πr = 22cm
➣ 22 × 22/7 × r = 22cm
➣ Radius = 22 × 7 / 2 × 22
- Cancelling both 22 digits.
➣ Radius = 7/2 cm.
Now,
➣ Area of circle = πr²
➣ Area of circle = 22/7 × (7/2cm)²
➣ Area of circle = 22/7 × 7/2 cm × 7/2 cm
- Cancelling both digits 22/7 & 7/2.
➣ Area of circle = 11 × 7 / 2
➣ Area of circle = 77/2 cm²
➣ Area of circle = 38.5cm²
Hence,
- The area of the circle is 38.5cm².
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