How many tangent lines can be drawn to a circle from a point outside the circle?

Two circles with centres A and B touches each other at the point C. If AC = 8 cm and AB = 3 cm, then area of shaded region is……………

A tangent intersects the circle at:

The minutes hand of a clock length is 10.5 cm. Then area swept by it in 10 minutes is ……………….. $c{m}^{2}cm^2$ .

Two circles of radius 15 cm and 13 cm intersect at A and B, such that $\overline{AB}\backslash overline\{AB\}$ = 24 cm. The distance between their centres is …………… cm

The distance between the two parallel tangents of a circle whose radius is 12 cm is ……… cm.

The end points of diameter of a circle are (2, 4) and (-3, -1). The radius of the circle is ………

The area of a circle is 220 $c{m}^{2}cm^2$ . Then the area of square inscribed in it is………

Area of segment of a circle ……………

If TP and TQ are two tangents to a circle with centre O so that $\mathrm{\angle }POQ\backslash angle\; POQ$ = 110°, then $\mathrm{\angle }PTQ\backslash angle\; PTQ$ is equal to