The area of a triangle is 126 cm², and the ratio of its height to its base is 9:7. If the base of the triangle is equal to the diameter of a circle, then find the circumference of the circle (in cm).

Correct answer: 44

Solution

Let height = 9x and base = 7x. Using area = \(\frac{1}{2} \times 7x \times 9x = 126\), we get \(x = 2\), so the base is 14 cm. Since the base equals the diameter of the circle, circumference = \(\pi d = 14\pi = 44\) cm.

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