Two circles of radii 21 cm and 14 cm share the same centre. Two radii drawn from that centre make an angle of 90° and cut off a piece of the ring between the circles. Find the area of that piece in cm². Take π = 22/7.

Question

Accepted Answer

192.5. The piece is the difference of two sectors of the same 90° angle. Area = (90/360) × π(21² − 14²) = ¼ × (22/7) × (441 − 196) = ¼ × (22/7) × 245 = ¼ × 770 = 192.5 cm².

Two circles of radii 21 cm and 14 cm share the same centre. Two radii drawn from that centre make an angle of 90° and cut off a piece of the ring between the circles. Find the area of that piece in $cm^{2}$ . Take π = 22/7.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

Two circles of radii 21 cm and 14 cm share the same centre. Two radii drawn from that centre make an angle of 90° and cut off a piece of the ring between the circles. Find the area of that piece in cm2. Take π = 22/7.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

Two circles of radii 21 cm and 14 cm share the same centre. Two radii drawn from that centre make an angle of 90° and cut off a piece of the ring between the circles. Find the area of that piece in $cm^{2}$ . Take π = 22/7.