Chapter 6.4, Problem 40E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

In

To determine

**To find:**

The exact value and the approximate value of

Explanation

**Given:**

The figure given below,

**Property Used:**

The measure of an inscribed angle of a circle is half the measure of its intercepted arc. Consider the figure below, let the inscribed angle be

Then

According to the Pythagorean theorem, in a right-angled triangle

**Calculation:**

The measure of an inscribed angle of a circle is half the measure of its intercepted arc and from the given figure,

Since, two angles are equal in the triangle, hence it is an isosceles triangle. So, the two sides corresponding legs will be equal i.e.

Let

Since, radii are equal

Also,

Thus,

Similarly, radii are equal

Also,

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