Question

In the diagram at the left, O is the center of the circle, MNOP is a rectangle, and the area of the circle is 100π. What is the length of diagonal of the rectangle?

Answer 1

The length of the diagonal of the rectangle will be 14.142 units.

What exactly is a rectangle?

It has four sides and is a polygon. The internal angle total is 360 degrees. The opposing sides of a rectangle are parallel and equal, and each angle is 90 degrees.

Rectangle diagonals are equally equal and meet at the midpoint.

O is the circle's center, MNOP is its rectangle, and the circle's area is 100 in the diagram to the left.

Area of circle=πr²

100 π= πr²

r= 10 units

The length of the rectangle is equal to the radius of the circle is 10 units. The length of the diagonal is √2  times the side of the rectangle;

L=√2 R

L=1.414×10

L=14.14

Hence the length of the diagonal of the rectangle will be 14.142 units.

To learn more about the rectangle,  refer to the link brainly.com/question/13747846.

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