Question
The length of a tangent from a point A at a distance 5 cms. from the centre of the circle is 4 cms. Radius of the circle is
A tangent at any point of a circle is perpendicular to the radius through the point of contact. Therefore, ∠OTA = 90° and ΔOTA is a right-angled triangle. By Pythagoras theorem, OA2 = OT2 + AT2 52 = OT2 + 42 OT2 = 25 - 16 OT2 = 9 OT = ± 3 Radius OT cannot be negative. Hence, the radius is 3 cm.More Geometry Questions
- If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 8 cm, BC = 10 cm then what is BD:CD?
- In ΔABC, PQ is parallel to BC If AP: PB= 3:4 and AQ= 6 cm, AC is equal to?
- The lengths of three medians in a triangles are 24 cm, 32 cm, 40 cm. What is the area of that traingle (in cm 2 )?
- Given are three points A(2, 7), B(4, -1), C(- 2, 6) on a plane. What kind of triangle is formed by joining the points A, B, and C?
- In an acute-angled triangle XYZ, an altitude XP is drawn from vertex X to side YZ. A point O is located on XP such that XY = 12 cm, OY = 5 cm, and OZ = 9 c...
- In a triangle, the three interior angles are in the ratio 3 : 4 : 5. What is the measure of the largest angle?
- The radius of a circle is 17 cm, and the length of the chord is 30 cm. Find the distance between the chord and the centre of the circle.
- What will be circumradius of a right angle triangle whose base is 20cm & height is 21cm ?
- If O is circumcentre of acute angled triangle ABC, if ∠ BOC = 100˚ then ∠ BAC = ?
- Find out the circumference of a sector whose radius is 7 cm and it makes the angle of 45° at the centre?
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
Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper
- 200 Questions with Detailed Solutions
- Section-wise Coverage (GA, English, Quant & Reasoning)