the area of a ring is 528 CM square and the radius of the outer circle is 17 centimetre square find the radius of the smaller circle and the width of the rain
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Answer:
Radius of smaller circle = 11 cm and width of ring = 6 cm
Step-by-step explanation:
Area of circular ring = π(R^2 - r^2) = 528cm^2
where R is the radius of outer circle and r is the radius of inner circle
=> R^2 - r^2 = 528/(22/7)
=> R^2 - r^2 = 24 x 7
=> 17^2 - r^2 = 168
=> r^2 = 121
=> r = +11 or -11
=> r = 11 cm since length cannot be negative
The width of circular ring = R - r
= 17 - 11
= 6 cm
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