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

Definition of relation, Definition of Relation A relation is a set of o...

Definition of Relation A relation is a set of ordered pairs. It seems like an odd definition however we'll require it for the definition of a function though, before actuall

Christie paid 5% sales tax purchase how much did she spend, Christie purcha...

Christie purchased a scarf marked $15.50 and gloves marked $5.50. Both items were on sale for 20% off the marked price. Christie paid 5% sales tax on her purchase. How much did she

Statistics, if the sum of mean and variance of a binomial distribution is ...

if the sum of mean and variance of a binomial distribution is 4.8 for five trials, the distribution

If 1/x+2, if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5...

if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5 are in AP find x. 1/x+3 - 1/x+2 = 1/x+5-1/x+3 =>  1/x 2 +5x+6  = 2/ x 2 +8x +15 =>  On solving we get x

Commercial maths, if 500kg of food lasts 40 days for 30 men.how many men wi...

if 500kg of food lasts 40 days for 30 men.how many men will consume 675kg of food in 45 days.

Show that aq= 1/2 perimeter of triangle abc, A circle touches the side BC o...

A circle touches the side BC of a triangle ABC at P and touches AB and AC when produced at Q and R. Show that AQ= 1/2 (perimeter of triangle ABC) Ans:    Since the length o

What is the total balance of an account after 18 months, A certain bank pay...

A certain bank pays 3.4% interest per year for a certificate of deposit, or CD. What is the total balance of an account after 18 months along with an initial deposit of $1,250?

Reduction formulae, Reduction formulae Script for Introduction: ...

Reduction formulae Script for Introduction: First let us know what is meant by reduction formula. In simple words,                 A formula which expressess(or re

Explain adding and subtracting in scientific notation, Explain Adding and S...

Explain Adding and Subtracting in Scientific Notation? To add or subtract numbers in scientific notation, the numbers must be expressed so that they have the same exponent.

Relating addition and subtraction, RELATING ADDITION AND SUBTRACTION :  In...

RELATING ADDITION AND SUBTRACTION :  In the earlier sections we have stressed the fact that to help children understand addition or subtraction, they need to be exposed to various

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