Find the area of the circle if the square has an area of 900 in second i'll give you an answer in terms of pi

Directions

Draw a square.

Draw the two diagonals of the square.

Where there intersect is the center of the circle.

Find the midpoint of one of the sides. Draw a line from the midpoint of one of the sides to the center. That's the radius of the circle. Draw the circle.

Now you know what it looks like. How big is the radius?

Solution

Find the length of the side of the square.

The formula for the area of a circle is

Area = s^2 where "s"  is the length of the side.

900 = s^2

Take the square root of both sides.

sqrt(900) = sqrt(s^2)

s = 30

The diameter of the circle is the same as s. You can "prove" this by drawing a line from the midpoint of the side of the circle to the center and then to the other side opposite. The side and what you drew are equal.

So the radius of the circle = s/2 = 30/2 = 15

Area of the circle = pi*r^2

Area of the circle = pi * 15^2

Area of the circle = 225 * pi  <<< Answer

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: