Ms. Terkper's Digital Classroom

Section 1 – Properties of Tangent of a Circle

1. Identify the diameter of the circle

Linear Inequality

2.Identify the radius of the circle

Linear Inequality

3.Identify the center of the circle

Linear Inequality

4. Find the value of x

5. RS is tangent to the circle with center C at S and RT is tangent to the circle with center C at T. RT = 3x + 4 and RS = 28 Find the value of x

6. Find the radius

7. GPS satellites orbit about 11,000 miles above Earth. The mean radius of Earth is about 3959 miles. Because GPS signals cannot travel through Earth, a satellite can transmit signals only as far as points A and C from point B, as shown. Find BA and BC to the nearest mile using Pythagoras theorem .

8. Find the distance from A to the center

Linear Inequality

9. If PA and PB are the tangents to the circle with centre O and PA = 3x + 8, PB = 26, then x =

10. If JG is a tangent to the circle, what is the value of x and and the measure of ∠JGH?