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    Question

    What is the length of diameter of a circular ground

    whose area is equal to the sum of the area of a circle of radius 8 m and a triangle of area 36 Ο€mΒ² ?
    A 15 m Correct Answer Incorrect Answer
    B 20 m Correct Answer Incorrect Answer
    C 10 m Correct Answer Incorrect Answer
    D More than one of the above Correct Answer Incorrect Answer
    E None of the above Correct Answer Incorrect Answer

    Solution

    ATQ, Given: Circle with radius = 8 m β†’ Area = 64Ο€ Triangle area = 36Ο€ Total area of the circular ground = Sum of both areas Find Total Area 64Ο€+36Ο€=100Ο€ Find Radius of Circular Ground Let radius = R, Ο€R2 =100Ο€ Cancel Ο€: R2 =100β‡’ R=10 Diameter=2R=2Γ—10=20Β 

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