Question

Which is true about the relationship between Circle O and Square RSTU? Select all that apply. 70 POINTS!!!

A.
The circumference of Circle O is equal to the perimeter of Square RSTU.

B.
Square RSTU is inscribed in Circle O.

C.
Circle O is inscribed in Square RSTU.

D.
Segment OR is a radius of Circle O.

E.
The area of Square RSTU is greater than the area of Circle O.

F.
The diameter of Circle O is equal to the side length of Square RSTU.

Answer 1

Answer with explanation:

The following are true statements or relationship between Circle O and Square RSTU.

Since, Circle is inscribed in Square.

So, →Option A--The circumference of Circle O is equal to the perimeter of Square RSTU is Incorrect.

Perimeter of Square > Perimeter of Circle

→Option B---Incorrect

→Option C---Correct

→Option D---Incorrect

Radius of circle =Half the length of side of square

OR=Half the length of Diagonal

So,OR≠Radius of circle

→Option E---Correct

Since, circle is inscribed in Square.So, Area of Square > Area of Circle.

→Option F----Correct

Answer 2

The circle is inside the square, so it is inscribed in the square ( C).

The area of the square is larger than the area of the circle (E) and because the edges of the circle touches the edges of the square the diameter of the circle is the same length as a side of the square (F)

The answers are C, E, F