Find the area of the largest circle that can be drawn inside a rectangle with sides 8 m x 9 m. Option 1: 36 m^2 Option 2: 502/7 m^2 Option 3: 639/14 m^2 Option 4: 2011/7 m^2

Answer: 502/7 m^2. Solution: The largest circle that fits inside an 8 m x 9 m rectangle has diameter equal to the shorter side = 8 m, so radius = 4 m. Area = r^2 = 22/7 x 16 = 352/7 = 502/7 m^2.

Geometry

Circles

Easy

Find the area of the largest circle that can be drawn inside a rectangle with sides 8 m $\times$ 9 m.

$36 \text{ m}^2$

$50\frac{2}{7} \text{ m}^2$

$63\frac{9}{14} \text{ m}^2$

$201\frac{1}{7} \text{ m}^2$

✅ Correct Option: 2

The largest circle that fits inside an $8 \text{ m} \times 9 \text{ m}$ rectangle has diameter equal to the shorter side $= 8$ m, so radius $= 4$ m. Area $= \pi r^2 = \frac{22}{7} \times 16 = \frac{352}{7} = 50\frac{2}{7}$ m $^2$ .

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Find the area of the largest circle that can be drawn inside a rectangle with sides 8 m ×\times× 9 m.

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Find the area of the largest circle that can be drawn inside a rectangle with sides 8 m $\times$ 9 m.