the area of two concentric circles are 1386 cm^2 and 1886.5 cm^2. find the width of the ring.
Answers
The areas of two concentric circles are 962.5 cm2 and 1386 cm2.Solution:
Given: The areas of two concentric circles are 1386 sq.cm and 1886.5 sq.cm. respectively.
Width of the ring = larger radius - smaller radius (of the concentric circle)
w=R-r
Area of larger circle=πR²
1886.5=22/7(R²)
1886.5 x 7/22=R²
85.75x7=R²
600.25=R²
R=√600.25
R=24.5cm
Area of smaller circle=πr²
1386=22/7(r²)
1386 x 7/22=r²
63 x 7=r²
r²=441
r=√441
r=21cmWidth of the ring(formed by concentric circles)=R-r
=24.5-21
=3cm
∴Width of the ring = 3cm
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