How do you find the chord when two circles touch?
Two circles touch each other internally at a point P. A chord AB of the bigger circle intersects the other circle in C and D. Prove that `∠`CPA = `∠`DPB. Draw a tangent TS at P to the circles given. Since TPS is the tangent, PD is the chord.
How to find the length of tangent of a circle?
Given, a circle with centre O and radius 8 cm. An external point P from where a tangent is drawn to meet the circle at T. Therefore, length of tangent = 6 cm. 2. In the given figure, O is the centre of the circle and AB is a tangent to the circle at B. If AB = 15 cm and AC = 7.5 cm, calculate the radius of the circle. AB = 15 cm, AC = 7.5 cm
How to show that two circles touch each other internally?
Two circles touch each other internally. Show that the tangents drawn to the two circles from any point on the common tangent are equal in length. Let Q be the point on the common tangent from which, two tangents QA and QP are drawn to the circle with centre O.
Which circle does a tangent intersect with a chord?
In only one of the two circles does a tangent intersect with a chord. Which circle is it? Circle 1 is the only circle whose intercepted arc is half the measure of the angle between the chord and the intersecting line.
What is the tangent of a circle?
Tangent to a Circle (Definition & Formula) Tangent to a Circle A tangent to a circle is a straight line that touches the circle at one point, called the point of tangency. At the point of tangency, the tangent of the circle is perpendicular to the radius.
How do you find the tangent of a circle OJS?
The circle OJS is constructed so its radius is the sum of the radii of the two given circles. This means that JL = FP. We construct the tangent PJ from the point P to the circle OJS.