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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 πm² ?
    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 → Area = 64π Triangle area = 36π Total area of the circular ground = Sum of both areas Find Total Area 64π+36π=100π Find Radius of Circular Ground Let radius = R, πR2 =100π Cancel π: R2 =100⇒ R=10 Diameter=2R=2×10=20 

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