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denpristay [2]
3 years ago
6

A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2π/3

Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
5 0

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Radius of circle = 10 inches

Central angle is given by

\frac{2\pi }{3}

As we know the formula for " Length of an arc " :

Length of arc is given by

l=r\theta\\\\l=10\times \frac{2\pi}{3}\\\\l=10\times \frac{2}{3}\times \frac{22}{7}\\\\l=20.95\ inches

Hence, length of an arc is 20.95 inches.

Hence, Option 'C' is correct.

soldi70 [24.7K]3 years ago
4 0

Answer: Option C

20.94 inches

Step-by-step explanation:

I just did it on edge

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The correct pair is option E, which is:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

<h3>What is the SAS Congruence Theorem?</h3>

The SAS theorems states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent included angles.

<h3>What is the Reflexive Property?</h3>

The reflexive property of geometry states that an angle or line will always be congruent to itself.

In the two column-proof, since FH = FH using the reflexive property, then both triangles are congruent to each other by the SAS congruence theorem.

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FH ≅ FH - reflexive property

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Learn more about the SAS theorem on:

brainly.com/question/2102943

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Step-by-step explanation:

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