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)

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

Ask an Expert

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

Write your message here..

Related Questions

Solution of rectilinear figures, A tower and a monument stand on a level pl... A tower and a monument stand on a level plane. the angles of depression on top and bottom of the monument viewed from the top of the tower are 13 degrees and 31 degrees, respective

What was the dow at the end of the day after the 2% drop, The Dow Jones Ind... The Dow Jones Industrial Average fell 2% presently. The Dow began the day at 8,800. What was the Dow at the end of the day after the 2% drop? The Dow lost 2%, so it is worth 9

Missing addends, what is answer ? + 5=10+5 what is answer ? + 5=10+5

how many of the original vectors, We have claimed that a randomly generate... We have claimed that a randomly generated point lies on the equator of the sphere  independent of where we pick the North Pole.  To test this claim randomly generate ten  vectors i

Write a congruence statement for pair and state reason, 2.5 in\ \/ 2.5 in\ \/

Non zero sum games- game theory, Non Zero Sum Games Recently there was ... Non Zero Sum Games Recently there was no satisfactory theory either to describe how people should play non-zero games or to explain how they actually play that game Nigel Ho

Halm''s differential equation, please i need the solution for halm''s diffe... please i need the solution for halm''s differential equation

How does a child think-knowing your maths learner, HOW DOES A CHILD THINK? ... HOW DOES A CHILD THINK? :  You must have interacted with children of various ages. From your experience, do you feel that children start learning, from a very early age, and conti

Limits at infinity part ii, Limits At Infinity, Part II :  In this sectio... Limits At Infinity, Part II :  In this section we desire to take a look at some other kinds of functions that frequently show up in limits at infinity.  The functions we'll be di

Dynamath, The canister of the nerf super soaker washout holds 22 ounces of ... The canister of the nerf super soaker washout holds 22 ounces of water. say you use 1/2 of the water. how much water is left in the canister