Calculate The Area Of Glass In A Table That Consists Of Three Glass Circles.The Largest Circle Has A Diameter Of 68cm. The Diameters Of The Other Two

Calculate the area of glass in a table that consists of three glass circles.the largest circle has a diameter of 68cm. The diameters of the other two circles are 6and 10 cm less than the diameter of the largest circle. Give your answer correct to 2 decimal places.

Answer:

9292.83 cm²

Step-by-step explanation:

Calculate the area of glass in a table that consists of three glass circles.the largest circle has a diameter of 68cm. The diameters of the other two circles are 6 and 10 cm less than the diameter of the largest circle. Give your answer correct to 2 decimal places.

D= diameter   ; r = radius

D1 = 68 cm    ; r1 = 0.5(D1) = (0.5)(68 cm) = 34 cm

D2 = 68 cm - 6 cm = 62 cm    ; r2 = 0.5(D2) = (0.5)(62 cm) = 31 cm

D3 = 68 cm - 10 cm = 58 cm       ; r3 = 0.5(D3) = (0.5)(58 cm) = 29 cm

A = π(r1)² + π(r2)² + π(r3)²

A = π(34 cm)² + π(31 cm)² + π(29 cm)²

A = 2958π cm² = 9292.83 cm²


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