calc
posted by Sunny .
Given X^2 + Y^2 = R^2, namely, a circle with center (0,0) and radius R, use integration to prove that the circle’s area equals πR2
Respond to this Question
Similar Questions

Geometry
I have a circle with a Tangent line, DE, running along it and connecting with another line, FC, which runs through the center of the circle to the other side.I have connected the center of the circle with point E on the edge of the … 
Geometry
I have a circle with a Tangent line, DE, running along it and connecting with another line, FC, which runs through the center of the circle to the other side.I have connected the center of the circle with point E on the edge of the … 
math
The area of a circle with radius r is given by the formula A=πr^2. If a circle has area 36π square inches, what is the radius? 
Algebra
The area of a circle is given by the formula A+pier^2, where r is the radius. If increasing the radius of a circle by 1 inch gives the resulting circle an area of 100pie square inches, what is the radius of the original circle? 
NEED MAJOR HELP! *QUADRATIC EQUATIONS*
Write the equation for the circle with center at ( 8,  6) and radius of 10. (x+8)² + (y + 6)² = 10 (x+8)² + (y + 6)² = 100 (x8)² + (y  6)² = 100 Find the standard equation for the circle with center on the positive xaxis … 
Math
I have a question my brother asked me but I need a math expert. You have two interlocking circles and the radius of circle B goes through the center of circle A and of course the radius of circle A goes through the center of circle … 
math
The area of a circle is given by the formula A = ðr2, where r is the radius. If increasing the radius of a circle by 1 inch gives the resulting circle an area of 100ð square inches, what is the radius of the original circle? 
math
The area of a circle is 25π square inches. What is the length of the radius of the circle in inches? 
MATH
The area of a circle is 25π square inches. What is the length of the radius of the circle in inches? 
Geometry
Write the General form equations for the following circles: 1. A circle with center (1, 6) and radius 4 2. A circle with center (6, 8) and radius 10 3. A circle with center (0, 3) and radius 2√3 4. A circle with center (0.5, 5.5 …