Question

Find the radius of the bigger circle if the area of ring is 96 pai cm^2 and the area of smaller circle is 34Pai cm^2

Answer 1

Heya mate, Here is ur answer

Area of ring = Area of bigger circle -area of smaller circle

$96\pi {cm}^{2} = area \: of \: bigger \: circle \: - 34\pi {cm}^{2}$

$96\pi +34\pi = area \: of \: bigger \: circle \:$

$130\pi {cm}^{2} = area \: of \: bigger \: circle$

Now let us consider Radius of bigger circle be r2.

So,

Area of bigger circle =πr2^2

$130\pi {cm}^{2} = \pi \: r2 {}^{2}$

$\frac{130\pi}{\pi} = r2 {}^{2}$

$130 = r2 {}^{2}$

$\sqrt{130} = r2$

$11.40= r2$

So, Radius of bigger circle=11.40 cm

Warm regards

@Laughterqueen

◦•●◉✿[Tʜᴀɴᴋ ʏᴏᴜ]✿◉●•◦

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Answer 2

$\huge {\mathfrak {Solutions :- }}$

Given :

Area of ring = 96 π cm²
Area of smaller circle = 34 π cm²

Let the bigger circle be x

Find the bigger circle :-

Area of Ring = Area of bigger circle - Area of smaller circle

96 π = x - 34 π
x = 34 π + 96 π cm²
x = 130 π

Now,
Find the radius of the bigger circle :-

Area of circle = π r²

πr² = 130 π
r² = 130
r = √130 = 11.40 approx.

Hence,
The radius of the bigger circle = 11.40 cm

$\huge {\mathbb {Be~Brainly}}$