English

Find the area of a circle whose circumference is 8π.

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Question

Find the area of a circle whose circumference is 8π.

Sum
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Solution

Given: Circumference C = 8π.

Step-wise calculation:

Use C = 2πr and A = πr2.

1. `r = C/(2π)`

= `(8π)/(2π)`

= 4

2. A = πr2

= π × 42

= 16π

Area = 16π (square units).

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Chapter 16: Area of Circle, Sector and Segment - EXERCISE 16B [Page 747]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 16 Area of Circle, Sector and Segment
EXERCISE 16B | Q 8. | Page 747
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