List of top Mathematics Questions on Circles asked in Bihar Board X

If \( O \) is the center and \( R \) is the radius of a circle and \( \angle AOB = \theta \), then the length of arc \( AB \) is:
If the length of any chord of a circle is equal to the radius of the circle, then the angle subtended by the chord at the centre is:
\( TP \) and \( TQ \) are two tangents drawn from an external point \( T \) to a circle whose center is \( O \) such that \( \angle POQ = 120^\circ \). Then the value of \( \angle OTP \) is:
The perpendicular distance from the centre of a circle to a chord of length 8 cm is 3 cm. Then the radius of the circle is:
The ratio of the areas of two circles is \( x^2 : y^2 \). Then the ratio of their radii is
The area of a circle is \(49\pi\) square cm. Then its diameter is
The distance covered by a wheel of radius 14 cm in 5 revolutions is
If two circles touch each other externally, then what is the number of common tangents?
If the angle between two tangents drawn from an external point \( P \) to a circle of radius 3 cm and centre \( O \) is \( 60^\circ \), find the length of \( OP \).
If \( TP \) and \( TQ \) are two tangents drawn from an external point \( T \) to a circle whose centre is \( O \) such that \( \angle POQ = 120^\circ \), then the value of \( \angle OTP \) is:
72. If two circles touch each other internally, then the number of common tangents is:
A circle has a radius of 6 cm. Find the length of that chord which is at a distance of 4 cm from the center.
If the area of a circle is equal to the area of a square, then the ratio of their perimeters is:
The distance between two parallel tangents of a circle is 10 cm. Then the radius of the circle is:
If two circles touch each other externally, then what is the number of common tangents?
From an external point \( P \), two tangents \( PA \) and \( PB \) are drawn to a circle. If \( PA = 6 \) cm, then \( PB \) is:
A circle has radius \(7\) cm. From external point \(P\), tangent \(PT=24\) cm. If \(O\) is centre, find \(OP\).
From an external point \(P\), the length of one tangent to a circle is \(17\) cm. The other tangent from \(P\) to the same circle has length:
A circle has radius \(7\) cm. If the area of a minor sector is \(14\ \text{cm}^2\), find the area of the major sector.
The area of a circle is \(154\ \text{cm}^2\). Its diameter is: