Question

A playground is in the form of a rectangle having semicircles on the shorter sides as shown in Figure 3. Find its area if the length of the rectangular portion is 90 m and the breadth is 56m.
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Answer 1

Answer:

7504$mtr^{2}$

Step-by-step explanation:

Rectangular section area=l*b

=90*56

=5040$mtr^{2}$

By joining both semicircles we get a circle with diameter 56m

So, radium of circle=56/2=28mtr

Taking $\pi$=22/7

Area of circle=$\pi$$r^{2}$

=(22*28*28)/7

=2464$mtr^{2}$

Hence, total area of figure=area of rectangle + area of circle

=5040+2464

=7504$mtr^{2}$

Answer 2

Area of rectangular portion = lxb

90 x 56

5040

Diameter of semi circle = 56 m

Radius = 28m

area of both semi circle = π r sq.

22/7 x 28 x 28

2464

total area = 5040+2463

= 7504