Question

find the radius and the circumference of a circle whose area is144 π cm^2​

Answer 1

Solution

Area of a circle = 144 πcm²

We know that area of circle is πr² ,so

πr² = 144π

here π of lhs has been cancelled out byπ of RHS

r². = 144

r = √144

r = 12 cm

Now we have to find out the circumference of given circle .

we know that circumference of circle is 2πr , hence

2πr = 2 ×22/7 × 12

2πr = 528 /7

Circumference = 75.42 cm

Answer 2

Answer:

area =

$\pi \: r {}^{2} = 144\pi$

$r {}^{2} = 144 \\ r = 12$

circumference = 2πr

= 2 × π × 12

=24π

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