Question

⊙M≅⊙N and ZY=32.6. Identify ST rounded to the nearest tenth.

Answer 1

The measure of length ST will be 6.4 So option B is correct.

What is a circle?

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

Given; M≅N and ZY=32.6

Identify ST;

Radius of the circle r = 24

We know that from pythagoras theorem;

ZP^2 + PM^2 = ZM^2

Also, 2 ZP = ZY

So,

16.3^2 + PM^2 = 24^2

PM^2 = 310.7

PM = 17.6

Since, M≅N then PM = SN.

therefore, SN = 17.6

ST = 24 - 17.6 = 6.4

Hence, The measure of length ST will be 6.4 So option B is correct.

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