Question 107

A window is in the shape of a rectangle surmounted by a semicircle. If the length of the rectangle is 6 feet and the radius of the semicircle is 2 feet, then the area of the window,in square feet, is

Solution:

Area of the window = Area of rectangular part + area of semicircular part

= $$l.b\ +\ \ \frac{\ \pi\ r^2}{2}$$ ......(Radius of semicircle = 0.5b)

= $$6\ \times\ \left(2\cdot2\right)\ +\ \ \frac{\pi\ \left(2\right)^{2\ }\ }{2}\ =\ 24\ +2\pi\ $$

= $$24\ +2\pi\ $$

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