Chapter 9: Q5. (page 331)

The radii of two concentric circles are $15$ cm and $7$ cm. A diameter $\bar{A B}$ of the larger circle intersects the smaller circle at $C$ and $D$ . Find two possible values for $A C$ .

Short Answer

Expert verified

$8 c m$ or $22 c m$ .

Step by step solution

Step 1. Given information.

The radii of two concentric circles are $15$ cm and $7$ cm. A diameter $\bar{A B}$ of the larger circle intersects the smaller circle at $C$ and $D$ .

Step 2. Concept used.

Concentric circles are circles with a common center.

Step 3. Find possible values.

From the figure, two possible values of $A C$ are:

$\begin{array}{l} A C = A O - O C \\ A C = 15 - 7 \\ A C = 8 c m \end{array}$

$\begin{array}{l} A C = A O + O C \\ A C = 15 + 7 \\ A C = 22 c m \end{array}$

Therefore, possible values are $8 c m$ or $22 c m$ .

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The radii of two concentric circles are $15$ cm and $7$ cm. A diameter $\bar{A B}$ of the larger circle intersects the smaller circle at $C$ and $D$ . Find two possible values for $A C$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Find possible values.

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Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Find possible values.

One App. One Place for Learning.

Most popular questions from this chapter

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The radii of two concentric circles are $15$ cm and $7$ cm. A diameter $\bar{A B}$ of the larger circle intersects the smaller circle at $C$ and $D$ . Find two possible values for $A C$ .