Areas Related to Circles questions for CBSE X

Three nonoverlapping sectors of a circle with radius 7 cm have angles 60°,80°,40°. Find their combined area, using π=22/7.

Use π=22/7. Assertion (A): A wheel making 5000 revolutions over 11 km has diameter 70 cm. Reason (R): A minor segment with central angle θ degrees has area (θ/360)πr²−r²sinθ/2.

A chord of a circle with radius 15 cm subtends 60° at the centre. Use π=3.14 and √3=1.73. Find the major-segment area to two decimals.

A protractor is a semicircular lamina whose perimeter,including its diameter,is 72 cm. Find its area using π=22/7.

Circles have radii 19 cm and 9 cm. Find the radius of a circle whose circumference equals the sum of their circumferences.

A circle has circumference 100 cm. Find the side of an inscribed square.

A chord subtends 90° at the centre of a circle of radius 10 cm. Find its major sector area using π=3.14.

A clock’s minute hand is 14 cm long. Find the area swept in 5 minutes.