Question

The area enclosed between the two concentric circles is 346.5 cm2. The circumference of the inner circle is 88 cm. Find the radius of the outer circle.

Answer 1

Answer:

17.5cm

Step-by-step explanation:

inner circumference = 88cm.

Let the radius of the inner circle be r1.

∴r

1

=

2π

C

=

2×

7

22

346.5

cm=14cm.

Soar.ring=ar.outercircle−ar.innercircle=π{r

2

2

−r

1

2

}

⟹346.5=

7

22

×{r

2

2

−r

1

2

}

⟹r

2

2

=306.25

⟹r

2

=17.5cm.

∴Theradiusoftheoutercircle=17.5cm.

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