Question
"In the given figure, 'O' is the center of the circle. If XR = 24 cm and RS = 18 cm, find the length of XO."
ATQ, RS × RZ = RX2 (Tangent secant Theorem) Let SZ = 'a' cm So, RS × (RS + a) = RX2 Or, 18 × (18 + a) = 242 Or, (18 + a) = 576 ÷ 18 Or, 18 + a = 32 Or, a = 14 So, SZ = 14 cm Since, O is the centre of the circle, SZ is the diameter. So, radius of the circle = 14 ÷ 2 = 7 cm So, XO = 7 cmMore Circle Questions
- In a triangle, PT is tangent and PAB is secant which cuts on a circle at points A & B. If PT= 12 cm, PA= 8 cm then find the legth of AB.
- From an external point P, a tangent PT is drawn to a circle with centre O. If OP = 17 cm and radius = 8 cm, then PT is:
- Determine the diameter of the incircle of a triangle whose area is 60 cm² and the semi-perimeter is 20 cm.
- In a circle of radius 10 cm, a chord AB has length 10√3 cm. Find: (i) the distance of the chord from the centre, and (ii) the measure of ∠AOB, where O is...
- A semicircle has a radius of 7 cm. What is the perimeter of the semicircle?
- The radius of a circle is 7 cm. Find the area of the sector formed by a central angle of 90°.
- If the angle of a sector of a circle is 450 & its radius is 14cm , find the area of this sector?
- Find the area of the sector of a circle with radius 14 cm and central angle 90°.
- In a circle of radius 10 cm, a chord is at a distance 6 cm from the centre. The length of the chord is:
- In a circle, two chords AB & CD are produced at P which is outside the circle . If PA= 12 cm, AB= 10 cm , PC = 2 cm then find CD.
Relevant for Exams:
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
