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If the length of a tangent from a point P to a circle is 24 cm and the distance of P from the center is 25 cm, find the radius.
Three circles of radius 1 cm touch each other externally. What is the area of the region enclosed between them?
In a circle of radius 17 cm, two parallel chords of length 30 cm and 16 cm are drawn. If they are on opposite sides of the center, find the distance between them.
A tangent PA is drawn from an external point P to a circle with center O. If the radius of the circle is 5 cm and the angle APO is 30 degrees, what is the length of OP?
The ratio of the area of a circle to the area of its circumscribed square is:
Find the radius of a circle where a chord of length 10 cm subtends an angle of 90 degrees at the center.
If the sum of the areas of two circles with radii r1 and r2 is equal to the area of a circle of radius R, then:
Two circles touch each other externally. The distance between their centers is 14 cm and the sum of their areas is 130*pi sq cm. Find the radii.
If the circumference of a circle and the perimeter of a square are equal, which has the larger area?
If a chord subtends an angle of 120 degrees at the center of a circle of radius 12 cm, find the length of the chord.
In a circle with center O, PT is a tangent and PAB is a secant. If PT = 6 cm and AB = 5 cm, find PA.
Find the length of the direct common tangent to two circles of radii 12 cm and 7 cm, if the distance between their centers is 13 cm.
What is the area of a sector whose arc length is 10 cm and radius is 5 cm?
If a circle is circumscribed about a right-angled triangle with legs 6 cm and 8 cm, find its radius.
The area of a circle inscribed in a square of side 10 cm is:
In a circle, the distance between two parallel chords of length 6 cm and 8 cm is 1 cm. What is the radius?
If the ratio of the areas of two circles is 4:9, what is the ratio of their circumferences?
A wire is in the form of a circle of radius 42 cm. It is bent into a square. Find the side of the square.
If the sector of a circle of radius 6 cm has an angle of 120 degrees, find the perimeter of the sector.
The difference between the circumference and radius of a circle is 37 cm. Find the area.