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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