Ask a New Question

Question

ABC is a sector of a circle with radius R and center C. The arc DE lies on a circle also centred at C. If DE divides ABC into two regions of equal area, find the length of CD in terms of R
7 years ago

Answers

Steve
If we call DE r, then we have

r^2θ = 1/2 R^2θ
r^2 = R^2/2
r = R/√2

or, since the areas are in the ratio 1:2, the radii are in the ratio 1:√2
7 years ago

Related Questions

ABC is a sector of a circle with radius R cm and centered at C. The arc DE lies on a circle also c... A 240° sector of a circle of radius 14cm is bent to form a cone.find the radius of the base of the c... A 230° sector Of a circle of radius 6cm To form a cone. Find the radius A sector of a circle 6cm has an angle of 105° at the circle . calculate it perimeter take 122nd/7 A sector of a circle has an area of 32πcm^2and contains a central angle of 210 degrees.calculate the... A sector of a circle has an area of 32πcm^2 and contains a central angle of 210 degrees.calculate th... A sector of a circle has an area of 32πcm^2 and contains a central angle of 210 degrees.calculate th... A sector of a circle has an area of 32πcm^2 and contains a central angle of 210°.calculate the radiu... FOG is a sector of a circle, centre O, with angle FOG = 1.2 radians. EOH a sector of a circle, cent...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use