Mathematics
O is the center of a circle with diameter 30 cm. P is a point outside the circle and PA is tangent of the circle. Find :
(i) the length of tangent PA; if OP = 39 cm.
(ii) the distance between O and P, if the length of the tangent PA is 20 cm.
Related Questions
The radius of a circle is 6 cm. Find its diameter. If O is the centre of the circle; state, giving reasons, the position of points A, B and C; if;
(i) OA = 4.8 cm
(ii) OB = 7.5 cm
(iii) OC = 6 cm
Fill in the blanks :
(i) An arc is the part of the ……………….
(ii) Diameter of a circle bisects …………
(iii) The part of the circumference greater than the semicircle is called …………….
(iv) Sector of a circle is its region bounded by ……………..
(v) The segment of a circle is the region bounded by ………………
(vi) A tangent of a circle meets the circle at …………..
(vii) The number of tangents that can be drawn through a point on its circumference = ……………
(viii) The number of tangent that can be drawn through a point outside the circle is ……………..
The following figure shows a circle with center O and a diameter AB.
(i) Name the angle APB.
(ii) State the measure of angle APB.
(iii) If AP = 12 cm and OA = 10 cm; find the lengths of AB and BP.
(iv) If 4AP = 3PB = 12 cm; find the radius of the circle.
Find the length of the tangent to a circle with radius 5 cm, from a point at a distance of 13 cm from its center.