Question

The area of shaded region between two concentric circle is 264 cm square . The sum of rsdii of two circles is 14 cm .find the difference of their radii

Answer 1

HELLO DEAR,

let the outer radius be R
and inner radius be r

given that:-

π(R²-r²)=264cm²------------------(1)

(R+r)=14cm --------------(2)

from--(1)

$\pi(R + r)(R - r) = 264 \\ = > \frac{22}{7} (14)(R - r) = 264.....using(2) \\ = > (R - r) = \frac{264 \times 7}{22 \times 14} \\ = > (R - r) = \frac{12}{2} \\ = > (R - r) = 6cm$

I HOPE ITS HELP YOU DEAR,
THANKS