Write an equation in radius and solve it for radius, Mathematics

Assignment Help:

X and Y are centers of circles of radius 9cm and 2cm and XY = 17cm. Z is the centre of a circle of radius 4 cm, which touches the above circles externally.  Given that XZY=90o, write an equation in r and solve it for r.

1259_radius.png

Ans:    Let r be the radius of the third circle APQ

XY = 17cm ⇒ XZ = 9 + r YZ = 2

(r + 9)2 + (r + 2)2 = (1 + r)2

⇒ r2 + 18r + 81 + r2 + 4r + 4 = 289S

r2 + 11r - 10r = 0 (r + 17) (r - 6) = 0

r = - 17 (N.P)

r = 6 cm

∴radius = 6cm


Related Discussions:- Write an equation in radius and solve it for radius

Geometry., solve for y given that 3sin^2 y+cos y-1=0 for 0y360

solve for y given that 3sin^2 y+cos y-1=0 for 0y360

Marketig research report , need help to write Marketing research reprot abo...

need help to write Marketing research reprot about IBM company using spss (statistical program) to analys the given data about the company and write the report according to given i

Invoices and trade discounts, Natureland garden center buys lawn mowers tha...

Natureland garden center buys lawn mowers that list for $679.95 less a 30% discount. What is the dollar amount of the discount?

Determine the marginal probability distributions, (1)   The following table...

(1)   The following table gives the joint probability distribution p (X, Y) of random variables X and Y. Determine the following: (a) Do the entries of the table satisfy

About matrix?, Explain sparse matrix and Dense matrix?

Explain sparse matrix and Dense matrix?

The geometric index or industrial share index, The Geometric Index or Indus...

The Geometric Index or Industrial Share index The Geometric Index or Industrial Share index is an index of 30 selected top industrial companies. This is calculated by taking a

Arithmetic sequence, find a30 given that the first few terms of an arithmet...

find a30 given that the first few terms of an arithmetic sequence are given by 6,12,18...

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