Square PQSR is inscribed in circle T. RS = 8_/2.

a. Find the length of the diameter of Circle T.
b. Find the Perimeter of PQSR.
c. Find the Circumference of Circle T.

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Step-by-step explanation:

a.

A diagonal of a square inscribed in a circle is the diameter.

So, to find the diameter we know if we separate the square into two different 45-45-90 degree triangles where a and b is 8. Use the 45-45-90 degree theorem shown in picture to find that the diagonal 8 times equals 16.

So, the diagonal is 16, thus the diameter is 16.

b.

Multiply 8 times 4 to get 32 as the perimeter as there are 4 sides which are equal to RS

c.

The circumference of a circle is the diameter times . The diameter we know from a, which is 16. So, it is 16

the correct answer is 5

step-by-step explanation:

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