4. A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding:(i) minor segment(ii) major sector. (Use π = 3.14)

4. A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding: (i) minor segment (ii) major sector. (Use π = 3.14) Solution: Here AB be the chord which is subtending an angle 90° at the center O. It is given that the radius … Continue reading 4. A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding:(i) minor segment(ii) major sector. (Use π = 3.14)

3. The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.

3. The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes. Solution: Length of minute hand = radius of the clock (circle) ∴ Radius (r) of the circle = 14 cm (given) Angle swept by minute hand in 60 minutes = 360° … Continue reading 3. The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.

2. Find the area of a quadrant of a circle whose circumference is 22 cm.

2. Find the area of a quadrant of a circle whose circumference is 22 cm. Solution: Circumference of the circle, C = 22 cm (given) It should be noted that a quadrant of a circle is a sector which is making an angle of 90°. Let the radius of the circle = r As C … Continue reading 2. Find the area of a quadrant of a circle whose circumference is 22 cm.

1. Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°.

1. Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°. Solution: It is given that the angle of the sector is 60° We know that the area of sector = (θ/360°)×πr2 ∴ Area of the sector with angle 60° = (60°/360°)×πr2 cm2 = (36/6)π cm2 … Continue reading 1. Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°.