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What is the area of the circular ring included between two concentric circles of radius 14 cm and 10.5 cm.

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150 c m^{2}

188

c m^{2}

248

c m^{2}

269.5

c m^{2}

answer is D.

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Detailed Solution

Concept- Finding the area of circular ring by using the formula of area of circle
Area of circle

= π r^{2}

Given: radius = 14 cm, 10.5 cm
Area of the bigger circle

= π (14^{2})

= π \times 14 \times 14

= 196 π c m^{2}

Area of smaller circle

, π r^{2}

= π {10.5}^{2}

= 110 . 25 c m^{2}

The shaded region,
Area of circle

= 196 π – 110.25 π

= 85.75 \times \frac{22}{7}

= 269.5 c m^{2}

Hence, the correct option is 4.

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