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Chapter 9: Q5. (page 331)

The radii of two concentric circles are 15cm and 7cm. A diameter AB炉of the larger circle intersects the smaller circle at Cand D. Find two possible values for AC.

Short Answer

Expert verified

8cm or 22cm.

Step by step solution

01

Step 1. Given information. 

The radii of two concentric circles are 15cm and 7cm. A diameter AB炉of the larger circle intersects the smaller circle at C and D.

02

Step 2. Concept used.

Concentric circles are circles with a common center.

03

Step 3. Find possible values.

From the figure, two possible values of ACare:

AC=AO鈭�OCAC=15鈭�7AC=8cm

Or

AC=AO+OCAC=15+7AC=22cm

Therefore, possible values are 8cm or 22cm.

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Most popular questions from this chapter

Find the measure of central 鈭�1.

Find AB.In Exercise 3,CB炉 is tangent to 鈯�A.

Given: PT炉is tangent to 鈯�Oat T;TS炉鈯�PO炉

Complete the following statements.

a. TS is the geometric mean between ? and ?

b. TO is the geometric mean between ? and ?

c. If OS=6 and SP=24,TS=? and TP=?

RS炉 and TU炉are common internal tangents to the circles. If RZ=4路7 and ZU=7路3, Find RS and TU.

In exercises 8-13 find the angle or the arc named.

GE铃�
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