Circles
Practice Circles MCQs from Geometry — Mathematics.
If the area of a circle is numerically equal to its circumference, find its radius.
The alternate segment theorem states that the angle between a tangent and a chord through the point of contact is equal to:
The area of a circle increases by what percent if its radius is doubled?
In the given figure, if angle BOC = 100, find angle BAC. (O is center)
A chord is 8 cm long and its distance from the center is 3 cm. What is the diameter?
Find the length of the arc of a circle of diameter 14 cm which subtends an angle of 36 degrees at the center.
If the perimeter of a semi-circular protractor is 36 cm, find its diameter. (pi = 22/7)
Two circles of radii 5 cm and 3 cm touch each other externally. Find the distance between their centers.
If a line y = mx + c is a tangent to the circle x^2 + y^2 = a^2, then c is equal to:
Two circles of radii 10 cm and 8 cm intersect and their common chord is 12 cm long. Find the distance between their centers.
What is the area of a circle inscribed in an equilateral triangle of side 'a'?
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.