Chapter 6.CR, Problem 32CR

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

A **
** triangle is inscribed in a circle with a radius of length 5 cm. Find the perimeter of the triangle.

To determine

**To Find: **The perimeter of the

Explanation

**Definition:**

A central angle of a circle is an angle whose vertex is the center of the circle and whose sides are radii of the circle.

An inscribed angle of a circle is an angle whose vertex is a point on the circle and whose sides are chords of the circle.

**Theorems:**

The measure of an inscribed angle of a circle is one-half the measure of its intercepted arc.

Congruent chords are located at the same distance from the center of a circle.

Angle inscribed in a semicircle is a right angle.

**Calculation:**

Given that a

By**theorem,”** Angle inscribed in a semicircle is a right angle”.

If a

Let

And

Then AC is the diameters of the circle.

So, radiii =

Since

Let

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Sect-6.1 P-11ESect-6.1 P-12ESect-6.1 P-13ESect-6.1 P-14ESect-6.1 P-15ESect-6.1 P-16ESect-6.1 P-17ESect-6.1 P-18ESect-6.1 P-19ESect-6.1 P-20ESect-6.1 P-21ESect-6.1 P-22ESect-6.1 P-23ESect-6.1 P-24ESect-6.1 P-25ESect-6.1 P-26ESect-6.1 P-27ESect-6.1 P-28ESect-6.1 P-29ESect-6.1 P-30ESect-6.1 P-31ESect-6.1 P-32ESect-6.1 P-33ESect-6.1 P-34ESect-6.1 P-35ESect-6.1 P-36ESect-6.1 P-37ESect-6.1 P-38ESect-6.1 P-39ESect-6.1 P-40ESect-6.1 P-43ESect-6.2 P-1ESect-6.2 P-2ESect-6.2 P-3ESect-6.2 P-4ESect-6.2 P-5ESect-6.2 P-6ESect-6.2 P-7ESect-6.2 P-8ESect-6.2 P-9ESect-6.2 P-10ESect-6.2 P-11ESect-6.2 P-12ESect-6.2 P-13ESect-6.2 P-14ESect-6.2 P-15ESect-6.2 P-16ESect-6.2 P-17ESect-6.2 P-18ESect-6.2 P-19ESect-6.2 P-20ESect-6.2 P-21ESect-6.2 P-22ESect-6.2 P-23ESect-6.2 P-24ESect-6.2 P-25ESect-6.2 P-26ESect-6.2 P-27ESect-6.2 P-28ESect-6.2 P-29ESect-6.2 P-30ESect-6.2 P-31ESect-6.2 P-32ESect-6.2 P-33ESect-6.2 P-34ESect-6.2 P-35ESect-6.2 P-36ESect-6.2 P-37ESect-6.2 P-38ESect-6.2 P-39ESect-6.2 P-40ESect-6.2 P-41ESect-6.2 P-42ESect-6.2 P-43ESect-6.2 P-44ESect-6.2 P-45ESect-6.2 P-46ESect-6.2 P-47ESect-6.2 P-48ESect-6.2 P-49ESect-6.3 P-1ESect-6.3 P-2ESect-6.3 P-3ESect-6.3 P-4ESect-6.3 P-5ESect-6.3 P-6ESect-6.3 P-7ESect-6.3 P-8ESect-6.3 P-9ESect-6.3 P-10ESect-6.3 P-11ESect-6.3 P-12ESect-6.3 P-13ESect-6.3 P-14ESect-6.3 P-15ESect-6.3 P-16ESect-6.3 P-17ESect-6.3 P-18ESect-6.3 P-19ESect-6.3 P-20ESect-6.3 P-21ESect-6.3 P-22ESect-6.3 P-23ESect-6.3 P-24ESect-6.3 P-25ESect-6.3 P-26ESect-6.3 P-27ESect-6.3 P-28ESect-6.3 P-29ESect-6.3 P-30ESect-6.3 P-31ESect-6.3 P-32ESect-6.3 P-33ESect-6.3 P-34ESect-6.3 P-35ESect-6.3 P-36ESect-6.3 P-37ESect-6.3 P-38ESect-6.3 P-39ESect-6.3 P-40ESect-6.3 P-41ESect-6.3 P-42ESect-6.3 P-43ESect-6.3 P-44ESect-6.3 P-45ESect-6.3 P-46ESect-6.3 P-47ESect-6.3 P-48ESect-6.3 P-49ESect-6.3 P-50ESect-6.4 P-1ESect-6.4 P-2ESect-6.4 P-3ESect-6.4 P-4ESect-6.4 P-5ESect-6.4 P-6ESect-6.4 P-7ESect-6.4 P-8ESect-6.4 P-9ESect-6.4 P-10ESect-6.4 P-11ESect-6.4 P-12ESect-6.4 P-13ESect-6.4 P-14ESect-6.4 P-15ESect-6.4 P-16ESect-6.4 P-17ESect-6.4 P-18ESect-6.4 P-19ESect-6.4 P-20ESect-6.4 P-21ESect-6.4 P-22ESect-6.4 P-23ESect-6.4 P-24ESect-6.4 P-25ESect-6.4 P-26ESect-6.4 P-27ESect-6.4 P-28ESect-6.4 P-29ESect-6.4 P-30ESect-6.4 P-31ESect-6.4 P-32ESect-6.4 P-33ESect-6.4 P-34ESect-6.4 P-35ESect-6.4 P-36ESect-6.4 P-37ESect-6.4 P-38ESect-6.4 P-39ESect-6.4 P-40ESect-6.4 P-41ESect-6.CR P-1CRSect-6.CR P-2CRSect-6.CR P-3CRSect-6.CR P-4CRSect-6.CR P-5CRSect-6.CR P-6CRSect-6.CR P-7CRSect-6.CR P-8CRSect-6.CR P-9CRSect-6.CR P-10CRSect-6.CR P-11CRSect-6.CR P-12CRSect-6.CR P-13CRSect-6.CR P-14CRSect-6.CR P-15CRSect-6.CR P-16CRSect-6.CR P-17CRSect-6.CR P-18CRSect-6.CR P-19CRSect-6.CR P-20CRSect-6.CR P-21CRSect-6.CR P-22CRSect-6.CR P-23CRSect-6.CR P-24CRSect-6.CR P-25CRSect-6.CR P-26CRSect-6.CR P-27CRSect-6.CR P-28CRSect-6.CR P-29CRSect-6.CR P-30CRSect-6.CR P-31CRSect-6.CR P-32CRSect-6.CR P-33CRSect-6.CR P-34CRSect-6.CR P-35CRSect-6.CT P-1CTSect-6.CT P-2CTSect-6.CT P-3CTSect-6.CT P-4CTSect-6.CT P-5CTSect-6.CT P-6CTSect-6.CT P-7CTSect-6.CT P-8CTSect-6.CT P-9CTSect-6.CT P-10CTSect-6.CT P-11CTSect-6.CT P-12CTSect-6.CT P-13CTSect-6.CT P-14CTSect-6.CT P-15CTSect-6.CT P-16CT

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