In the figure, there is a jogging track which consists of two semi-circular track and two rectangle track that have to be renovated. For the circular parts, the inner and outer radii are 6 m and 8 m respectively. Find the area highlighted in green colour (in square meters).

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Solution

The correct option is D
88

There are two semi-circular parts (green parts) which add up to be a complete circle.

So, area of the circular part of the track = $π [(o u t e r r a d i u s)^{2} - (i n n e r r a d i u s)^{2}]$

$= π (8^{2} - 6^{2}) = \frac{22}{7} \times 14 \times 2 = 88 m^{2}$

(Using identity $a^{2} - b^{2}$ = (a + b)(a - b))

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In the figure, there is a jogging track which consists of two semi-circular track and two rectangle track that have to be renovated. For the circular parts, the inner and outer radii are 6 m and 8 m respectively. Find the area highlighted in green colour (in square meters).

The correct option is D 88 There are two semi-circular parts (green parts) which add up to be a complete circle. So, area of the circular part of the track = π[(outer radius)2−(inner radius)2] =π(82−62)=227×14×2=88m2 (Using identity a2–b2 = (a + b)(a - b))