Question

Find the diameter of a circle whose area is equal to the sum of the circumferences of the two circles of diameter 30 and 24 cm.

Answer 1

circumference of smallest circle (d = 24)
2$\pi$ r
2 × 3.14 × 12
75.36

Circumference of the other circle (d = 30)
2$\pi$ r
2 × 3.14 × 15
94.2

Area of the final circle = 75.36 + 94.2
           $\pi$ r² = 75.36 + 94.2
       3.14 × r² = 169.56
                   r² = 169.56 ÷ 3.14
                   r² = 54
                   r  = 7.34
d = r + r
d = 7.34 + 7.34
d = 14.68

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