15. Find the perimeter and area of a figure formed by attaching a
semicircle to a side of an equilateral triangle having side 28 cm.
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Step-by-step explanation:
Given, radius = r = 7 cm.
Problems on Area and Perimeter of a Semicircle
Then, area of semicircle = \(\frac{1}{2}\) πr\(^{2}\)
= \(\frac{1}{2}\) × \(\frac{22}{7}\) × 7\(^{2}\) cm\(^{2}\)
= 11 × 7 cm\(^{2}\)
= 77 cm\(^{2}\)
Perimeter of a semicircle = (π + 2)r
= (\(\frac{22}{7}\) + 2) × 7 cm
= \(\frac{36}{7}\) × 7 cm
= 36 cm
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