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 Area enclosed by the circumference of two concentric circles is the difference of the areas of two circles.The correct answer is: 17.66 cmIt is given that Circumference of inner circle = 88 cm2 r = 882 × × r = 8r = 14 cmLet radius of outer circle = r1Area enclosed by the circumference of two concentric circles = 364.5 cm2i.e. Area of outer circle – Area of inner circle = 364.5 cm2 (r1)2 - r2 = 364.5 × (r1)2 - × (14)2 = 364.5((r1)2 – 142) = 364.5((r1)2 – 142 = (r1)2 = 311.977r1 = 17.66 cm
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Given: As shown above in the figure, two concentric circles with centre At point O. Radius of the bigger circle = R cm, of the smaller circle = r cm. Area of between the two concentric circles = 286 cm2.Difference between the radii of the two circles = 7 cm = R – r ____ (1) Formula Used: Area of a circle = πR2 (Where R = Radius of the circle) Calculation: ⇒ πR2 – πr2 = 286, 22/7 × (R2 – r2) = 286 ⇒ (R – r)(R + r) = 13× 7, (R + r)× 7 = 13× 7, (R + r) = 13 cm ____(2) From (1) & (2), we get ∴ R = 10 cm, r = 3 cm India’s #1 Learning Platform Start Complete Exam Preparation
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What is the area of the circular ring included between two concentric circles of radius 14cm & 10.5 cm?
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