SSS2 Maths Quiz 13.3 – Alternate segment

In terms of π, what is the length of an arc that subtends an angle of 60 degrees at the center of a circle of radius 7 cm?

What angle does an arc of 4.4 cm in length subtend at the center of a circle of diameter 14 cm?

An arc of length 20 cm subtends an angle of 15 degrees at the center of a circle. In the same circle, what angle does an arc of length 25 cm subtend?

Six pencils are of diameter 5 mm. What is the length of the band that binds them together tightly?

A piece of wire 30 cm long is bent into an arc of a circle of radius 5 cm. What angle does the wire subtend at the center of the circle?

A sector of a circle has an area of 25π cm² and a central angle of 90°. Find the radius of the circle.

The circumference of a circle is 22 cm. Find the length of an arc that subtends an angle of 120° at the center.

A chord of length 16 cm is drawn in a circle of radius 10 cm. Find the angle subtended by the chord at the center of the circle.

The area of a sector of a circle is 77 cm² and its central angle is 70°. Find the radius of the circle (take π = 22/7).

Five identical coins are placed flat on a table, touching each other. A rubber band is stretched around them tightly. If the diameter of each coin is 2 cm, what is the length of the rubber band?

In a circle with radius 6 cm, an arc subtends an angle of 45° at the center. Find the area of the sector formed by this arc.

A circular park has a radius of 50 meters. A path runs along its circumference. If a man walks 3/4 of the way around the path, how many meters has he walked?

A wheel has a radius of 20 cm. How many revolutions will it make to cover a distance of 1.57 km? (Take π = 3.14)

A pendulum swings through an arc of length 10 cm. If the length of the pendulum is 25 cm, find the angle (in radians) through which the pendulum swings.

A chord of a circle subtends an angle of 60° at the center. If the radius of the circle is 12 cm, find the length of the chord.

The minute hand of a clock is 15 cm long. How far does its tip move in 20 minutes?

A circular pizza has a diameter of 28 cm. It is cut into 8 equal slices. Find the area of one slice. (Take π = 22/7)

A horse is tied to a pole with a 5-meter long rope. It can graze within a circular area. Find the area of the grazing field.

A circular swimming pool has a circumference of 66 m. Find its diameter. (Take π = 22/7)

A car tire has a diameter of 0.8 m. How many revolutions will it make to cover a distance of 1 km?