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Question
In the figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB = 20 cm, PB = 12 cm and CP = 8 cm, then find the measure of PD.
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EnglishSimilar Questions
- 1)
In a circle with center O, PQ and RS are two chords. PQ and RS, when produced, meet at point K. If PR is a diameter and ∠ PKS = 66°, what is the value of ∠ QOS?
- 2)
The perpendicular distance from the center of a circle to a chord is 5 cm. If the length of the chord is 24 cm, find the radius of the circle. Also, calculate the distance of another chord of length 18 cm from the center.
- 3)
PQ is a chord in the minor segment of a circle and R is a point on the minor arc PQ. The tangents at the points P and Q meet at the point T. If ∠PRQ =102°, then the measure of ∠PTQ is :
- 4)
In a circle, a chord AB is 12 cm long and is at a distance of 4 cm from the center. What is the radius of the circle?
- 5)
Two chords AB and CD intersect at a point P inside a circle. If AP = 6 cm, PB = 8 cm, and CP = 4 cm, what is the length of PD?
- 6)
A chord of a circle has a length of 12 cm. The angle subtended by the chord at a point on the circumference is 30°. What is the distance from the center of the circle to the chord?
- 7)
There are two parallel chords measuring 16 cm and 12 cm, both situated on the same side of the center of a circle. The space between the two chords is 2 cm. What is the radius of the circle?
- 8)
What is the area of the segment formed by a chord in a circle of radius 12 cm, if the angle subtended at the center is 150°?
- 9)
In a circle, the length of a chord is 12 cm and the perpendicular distance from the centre of the circle to the chord is 5 cm. What is the radius of the circle? (Rounded up to two decimal places.)
- 10)
What is the ratio of the angles subtended by a chord at the centre of a circle to the angle subtended at any point on the circumference of the circle?
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Similar Questions
- 1)
In a circle with center O, PQ and RS are two chords. PQ and RS, when produced, meet at point K. If PR is a diameter and ∠ PKS = 66°, what is the value of ∠ QOS?
- 2)
The perpendicular distance from the center of a circle to a chord is 5 cm. If the length of the chord is 24 cm, find the radius of the circle. Also, calculate the distance of another chord of length 18 cm from the center.
- 3)
PQ is a chord in the minor segment of a circle and R is a point on the minor arc PQ. The tangents at the points P and Q meet at the point T. If ∠PRQ =102°, then the measure of ∠PTQ is :
- 4)
In a circle, a chord AB is 12 cm long and is at a distance of 4 cm from the center. What is the radius of the circle?
- 5)
Two chords AB and CD intersect at a point P inside a circle. If AP = 6 cm, PB = 8 cm, and CP = 4 cm, what is the length of PD?
- 6)
A chord of a circle has a length of 12 cm. The angle subtended by the chord at a point on the circumference is 30°. What is the distance from the center of the circle to the chord?
- 7)
There are two parallel chords measuring 16 cm and 12 cm, both situated on the same side of the center of a circle. The space between the two chords is 2 cm. What is the radius of the circle?
- 8)
What is the area of the segment formed by a chord in a circle of radius 12 cm, if the angle subtended at the center is 150°?
- 9)
In a circle, the length of a chord is 12 cm and the perpendicular distance from the centre of the circle to the chord is 5 cm. What is the radius of the circle? (Rounded up to two decimal places.)
- 10)
What is the ratio of the angles subtended by a chord at the centre of a circle to the angle subtended at any point on the circumference of the circle?
