Question

Area= Help me please!! Thanks

Answer 1

The area of square LMNP is 50

What is a circle?

A circle is the locus of points equidistant from a fixed point which is known as the center of the circle.

A circle is defined if the center and the radius is known.

Analysis:

Perimeter of a circle = 2πr

Given perimeter = 10π

2πr = 10π

2r = 10

r = 10/2 = 5

r = MO

so the diagonal of the square is actually the diameter of the circle = 5+5 = 10

To find the side, x of the square the diagonal and the sides form a right-angled triangle, by  Pythagoras, $10^{2}$ = $x^{2}$ + $x^{2}$

2$x^{2}$ = 100

$x^{2}$ = 100/2 = 50

Also area of square is $x^{2}$ = 50

In conclusion, the area of square LMNP is 50

Learn more about circles: brainly.com/question/24375372

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