A secant PAB is drawn from an external point P to the circle with the centre at O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm and PB = 22.5 cm, then the radius of the circle is:
√19cm
Using the secant-tangent theorem, we calculate the radius of the circle to be √19 cm.
Similar Questions
The central angle of a sector is 80° and whose length is 96π. What is the radius of the circle?
To have a surface area of 9π square units of a ball, what should be the diameter (in units) of the ball?
The area of the sector of a circle (in cm²) of radius 7 cm and central angle 60° is:
(Take π = 22/7)ΔABC is a right-angled triangle with ∠ABC = 90°. If m(AB) = 28 cm, and m(BC) = 96 cm, find the area (in cm²) of the circumcircle of ΔABC. (Use π = 3.14.)
What is the total surface area of a cone whose curved surface area is 550 cm² and radius is 7 cm? (Take π = 22/7)
In ΔABC - ∆PQR, AB = 4 cm, PQ = 6 cm, QR = 9 cm and RP = 12 cm, then find the perimeter of ΔABC.
From a point A, which is at a distance of 17 cm from the centre C of a circle with radius 8 cm, the pair of tangents AB and AD to the circle are drawn. The area of the quadrilateral ABCD is _____ cm².
If the angles of a triangle are in the ratio 7:8:3, then the value of the largest angle is:
For triangles, which of the following statement(s) are true?
(a) Sum of interior angles is 180°.
(b) All interior angles can’t be equal.
(c) Can have at the most one obtuse angle.
(d) Sum of two sides may or may not be equal to the third side.
Two circles touch each other externally at P. AB is a direct common tangent to the two circles. If A and B are points of contact and ∠PAB = 65°, then ∠ABP is _________.
Important Questions from Geometry
The central angle of a sector is 80° and whose length is 96π. What is the radius of the circle?
To have a surface area of 9π square units of a ball, what should be the diameter (in units) of the ball?
The area of the sector of a circle (in cm²) of radius 7 cm and central angle 60° is:
(Take π = 22/7)ΔABC is a right-angled triangle with ∠ABC = 90°. If m(AB) = 28 cm, and m(BC) = 96 cm, find the area (in cm²) of the circumcircle of ΔABC. (Use π = 3.14.)
What is the total surface area of a cone whose curved surface area is 550 cm² and radius is 7 cm? (Take π = 22/7)
