Circle · Quantitative Aptitude · SSC CGL Tier I

A circular arc whose radius is 4 cm makes an angle 45° at the centre. Find the perimeter of the sector formed.

(Take π = $\frac{22}{7}$)

Angle subtended by the largest chord of the circle to a point on the same circle measures:

The distance between the centres of two circles having radii 22 cm and 18 cm, is 32 cm. The length (in cm) of the direct common tangent of the two circles is:

In the following figure, O is the centre of the circle. Its two chords AB and CD intersect each other at point P inside the circle. If AB = 18 cm, PB = 6 cm and CP = 4 cm, then find the measure of PD.

In the following figure, the length of arc AB is equal to five times of the radius r of the circle. Find the area of sector AOB?

Triangle ABC is circumscribed around circle D. Segments AQ, BR, and SC measure 13, 10.5, and 6 cm, respectively. The perimeter of triangle ABC is:

In the figure, PT is a tangent. If TP = 12 cm, PB = x + 7 cm and PA = x cm, then find the value of x.

Find the value of x in the given figure where TF ( tangent on point T) = 15 cm, FB = 2x + 3 cm, FA = 9 cm.

The area of a sector of a circle is 110 cm² and the central angle of the sector is 56°, what is the radius of the circle? (Take π = 22/7)

There are two circles that touch each other externally. Radius of the first circle with centre O is 12 cm. Radius of the second circle with centre A is 8 cm. Find the length of their common tangent BC.

In the given figure, O is the centre of the circle and ∠AOB = 130°. Find ∠APB.