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Class 10

Explore popular questions from Areas Related to Circles for Class 10. This collection covers Areas Related to Circles previous year Class 10 questions hand picked by experienced teachers.

Areas Related to Circles

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Q 1. In the following figure {tex}\mathrm{BOD}{/tex} is the arc of a circle with centre C having radius {tex} 2 \mathrm { cm } {/tex}. {tex}\mathrm{ABCD}{/tex} is a square and {tex} \Delta \mathrm { CEF } {/tex} is an isosceles right-angled triangle whose equal sides are {tex} 6 \mathrm { cm } {/tex} long. Find the area of the shaded
region.

A

{tex} 2.02 \mathrm { cm } ^ { 2 } {/tex}

B

{tex} 7.07 \mathrm { cm } ^ { 2 } {/tex}

{tex} 21.14 \mathrm { cm } ^ { 2 } {/tex}

D

{tex} 14.04 \mathrm { cm } ^ { 2 } {/tex}

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Q 2. In the figure as mentioned below, {tex}\mathrm{POQ}{/tex} and {tex}\mathrm{ROS}{/tex} are diameters of a circle with centre {tex}\mathrm{O}{/tex} and radius {tex} 14 \mathrm { cm } . {/tex}
Find the area of the shaded region. (Take {tex}\pi = \frac { 22 } { 7 } {/tex})

A

{tex} 154 \mathrm { cm } ^ { 2 } {/tex}

B

{tex} 112 \mathrm { cm } ^ { 2 } {/tex}

{tex} 266 \mathrm { cm } ^ { 2 } {/tex}

D

{tex} 308 \mathrm { cm } ^ { 2 } {/tex}

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Q 3. Two circles touch internally and their centres are {tex} \mathrm { O } {/tex} and {tex} \mathrm { O } ^ { \prime } {/tex}. The difference of their areas is {tex}\mathrm{264 sq.}{/tex} {tex} \mathrm { cm } . {/tex} and the distance between their centres is {tex} 6 \mathrm { cm } . {/tex} What is the diameter of the larger circle?

A

{tex} 16 \mathrm { cm } {/tex}

{tex} 10 \mathrm { cm } {/tex}

C

{tex} 18 \mathrm { cm } {/tex}

D

{tex} 4 \mathrm { cm } {/tex}

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Q 4. The figure shows nine {tex} 1 \mathrm { cm } \times 1 \mathrm { cm } {/tex} squares and a circle. The circle passes through the centres of the squares in the four corners. Find the area of shaded region.

A

{tex} 81 - \sqrt { 2 } \pi {/tex}

B

{tex} \frac { 9 - 2 \pi } { 4 } {/tex}

{tex} 9 - 2 \pi {/tex}

D

{tex} \frac { 81 - 2 \pi } { 2 } {/tex}

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Q 5. A circle is inscribed in an isosceles trapezium {tex}\mathrm{ABCD}{/tex} in which {tex}\mathrm{AB}{/tex} is parallel to {tex}\mathrm{DC}{/tex}. If {tex}\mathrm{AB}=10{/tex} and {tex} \mathrm { DC } = 30 . {/tex} Find the area of the circle.

A

{tex} 40 \pi {/tex}

B

{tex} 50 \pi {/tex}

C

{tex} 60 \pi {/tex}

{tex} 75 \pi {/tex}