Worksheet: Relations between Circles
In this worksheet, we will practice using the relation between two circles touching internally or externally and the properties that result from this relation to solve problems.
Two circles and intersect at points and , where . The point satisfies and . is a point on the circle such that is a tangent of . Also, intersects the circle at and , where and . Find the length of and to two decimal places.
- A ,
- B ,
- C ,
- D ,
Given that and , find the length of to the nearest tenth.
In the figure, circles and intersect at and , and . What is ?
Two congruent circles of radius cm intersect. Their centres are 56 cm apart, and their common chord has a length of 42 cm. Determine .
Suppose . What is ?
In the figure, circles and intersect at and . If and , determine to the nearest tenth.