Sum of their areas is given find radii of the two circles, Mathematics

Two circles touch externally. The sum of their areas is 58 π cm2 and the distance between their centres is 10 cm. Find the radii of the two circles. (Ans:7cm, 3cm)

701_circle15.png

Ans:    Sum of areas = Π r2 + Π (10 - r )2 = 58 Π Π r2 + Π (100 - 20 r + r2) = 58 Π

r2 + 100 - 20r + r2 = 58

2r2 - 20r +100 - 58 = 0

2r2 - 20r +42 = 0 r2 - 10r +21 = 0

(r-7), (r-3) = 0

r=7cm,3cm

Posted Date: 4/10/2013 5:43:36 AM | Location : United States







Related Discussions:- Sum of their areas is given find radii of the two circles, Assignment Help, Ask Question on Sum of their areas is given find radii of the two circles, Get Answer, Expert's Help, Sum of their areas is given find radii of the two circles Discussions

Write discussion on Sum of their areas is given find radii of the two circles
Your posts are moderated
Related Questions
create a system of linear equations that has (2,3)as a solution.

you need to cut the proper to cut 2''*4*8 long studs to the proper length to make a finished wall 8" in height underneath the studs there will be a double plate made up of two piec

Create a detailed diagram to describe the equation of an ellipse in terms of it’s eccentricity and indicate how the foci and major and minor semi-axes are involved. Y


Series - Special Series In this part we are going to take a concise look at three special series.  In fact, special may not be the correct term.  All three have been named th

The remainder when 5^99 is divided by 13 Ans) 8 is the remainder.

Case 1: Suppose we have two terms 8ab and 4ab. On dividing the first by the second we have 8ab/4ab = 2 or 4ab/8ab = (1/2) depending on whether we consider either 8ab or 4ab as the

Joe walked 2 1/2 miles to school, 1/3 mile to work, and 1 1/4 miles to his friend's house. How several miles did Joe walk altogether? To find out the total distance walked, add

y=9x-5x+2 and y=4+12

A round balloon of radius 'a' subtends an angle θ at the eye of the observer while the angle of elevation of its centre is Φ.Prove that the height of the center of the balloon is a