Question

the radius of the circle is πcm. the base of the triangle is πcm . the area of the circle equals the area of the triangle. what is the height of the triangle

Answer 1

Area of the circle: πr^2
π(π)^2= π^3

Area pf triangle: Bh/2
πh/2

π^3= πh/2

Multiply both sides by 2
2π^3= πh

Divide both sides by π
2π^2=h

Final answer: height= 2π^2

Answer 2

To solve for the area of a circle we use this formula:
π*radius^2
Since we know that radius=π, we can rephrase the formula to this:
π*π^2
 
Follow BEDMAS to solve
π*9.8696044
=31.0062767

The area of the circle is 31.0062767 centimeters.

To find the height of the triangle using the information we have gathered, we can create an equation.
The formula to find the area of a triangle is:
base*height/2

Lets input the information we know:
π*h/2=31.0062767

Solve for h
(π*h/2)*(2) =(31.0062767)*(2)
π*h=(31.0062767)*(2)
π*h=62.0125534
(π*h)/(π)=(62.0125534)/(π)
h=(62.0125534)/(π)
h=19.7392088

The height of the triangle would be 19.7392088 centimeters.

Hope this helps!
-Benjamin