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.

Respuesta :

Answer: Look at explanation, and hope it helps. Please mark as brainliest! Take care during these hard time.

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[tex]\sqrt{2}[/tex]. Use the 45-45-90 degree theorem shown in picture to find that the diagonal 8[tex]\sqrt{2}[/tex] times [tex]\sqrt{2}[/tex] equals 16.

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

b.

Multiply 8[tex]\sqrt{2}[/tex] times 4 to get 32[tex]\sqrt{2}[/tex] as the perimeter as there are 4 sides which are equal to RS

c.

The circumference of a circle is the diameter times [tex]\pi[/tex]. The diameter we know from a, which is 16. So, it is 16[tex]\pi[/tex]

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