Geometry

In the figure, O is the center. PA and PB are tangents. If angle AOB = 120 degrees, find angle OAB.

What is the angle in a segment greater than a semi-circle?

A square is inscribed in a circle of area 154 sq. cm. Find the area of the square.

The angle between a tangent and its chord is 50 degrees. What is the angle in the alternate segment?

Three circles of radius 1 cm touch each other externally. What is the area of the region enclosed between them?

A circle is inscribed in a right-angled triangle with sides 6, 8, and 10. Find its radius.

If the circumference of a circle is increased from 4*pi to 8*pi, what happens to its area?

In the figure, if chord AB is parallel to tangent at C, then triangle ABC is:

The length of a transverse common tangent to two circles of radii 8 cm and 2 cm with centers 13 cm apart is:

If a rectangle is inscribed in a circle, its diagonal is always the:

How many common tangents can be drawn to two circles that do not intersect and one is not inside the other?

A wire in the form of a circle of radius 42 cm is cut and bent into a square. Find the side of the square.

What is the locus of the center of a circle which touches a given line at a given point?

A chord AB of a circle divides it into two segments. If the angle in the minor segment is 120 degrees, what is the angle in the major segment?

In a circle with center O, the measure of central angle AOB is 80 degrees. If the area of sector AOB is 16*pi, what is the radius?

The angle between a tangent and its radius is always constant. What is that constant?

What is the relationship between the radius (r) and the diameter (d) of a circle?

If the radius of a circle is 7 cm, what is its circumference? (Take pi = 22/7)

What is the area of a circle with a diameter of 14 cm? (Take pi = 22/7)

What is the degree measure of an angle inscribed in a semi-circle?