Circle Mock Tests

The length of the tangent from an external point P to a circle of radius 5 cm is 12 cm. If the distance of P from the centre of the circle is d cm, then d is:

The equation of the circle with centre at (2, 3) and radius 5 is

A circle is inscribed in an equilateral triangle of side 12 cm. What is the area of the circle? (Take π = 3.14)

The length of the radius of the circle x² + y² − 6x + 4y − 12 = 0 is:

Two circles of radii 9 cm and 2 cm touch each other externally. What is the length of the direct common tangent?

In a cyclic quadrilateral ABCD, angle A is 80°. Find angle C.

The circumference of a circle is equal to the perimeter of a square whose side is 22 cm. What is the area of the circle? (Take π = 22/7)

Two concentric circles have radii 13 cm and 5 cm. The length of the chord of the larger circle which is tangent to the smaller circle is: