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

Assignment Help:

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


Related Discussions:- Sum of their areas is given find radii of the two circles

Definition of a function, Definition of a Function Now we need to move...

Definition of a Function Now we need to move into the second topic of this chapter.  Before we do that however we must look a quick definition taken care of.

Calculate percentage of increasing customer, Coastal Cable had 1,440,000 cu...

Coastal Cable had 1,440,000 customers within January of 2002. During the first half of 2002 the company launched a large advertising campaign. Through the end of 2002 they had 1,80

Logarithmic functions, If x = b y where both b > 0, x > 0, then we d...

If x = b y where both b > 0, x > 0, then we define y = log b x, which is read as "y is the log to the base b of x". This means that, log b x or y is the number to

Logics Puzzle, It’s been a busy weekend for Larry. Five people in his neigh...

It’s been a busy weekend for Larry. Five people in his neighborhood left on vacation Saturday morning and each of them left a pet for Larry to care for until they return. It’s a go

Matrices, find inverse of [1 2 3 2 4 5 3 5 6]

find inverse of [1 2 3 2 4 5 3 5 6]

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd