Tangent to circle Worksheet

Tell how many common tangents the circles have

ST is tangent to ⊙Q. Find the radius of ⊙Q

Find the length of tangent drawn to circle with radius 8 cm from a point 17 cm way from the centre of the circle

Whether ST is tangent to ⊙P. Explain your reasoning.

• YES

  Use the Converse of the Pythagorean Theorem. Because

• NO

  Using triangle inequality theorem

• Can't determine

points B and D are points of tangency. Find the value of x.

point B is a point of tangency. Find the radius r of ⊙C.

In the diagram, AB = AC = 12, BC = 8, and all three segments are tangent to ⊙P. What is the radius of ⊙P? Justify your answer.

Find the segment length indicated. Assume that lines which appear to be tangent are tangent.

Each side of quadrilateral TVWX is tangent to ⊙Y. Find the perimeter of the quadrilateral.

In the diagram below, EF and EG are tangent to circle with centre C. What is the value of x?

• -1

• -4

• 1

• 4