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

common divisors greater than one, Let R be the relation on Z + defined by...

Let R be the relation on Z + defined by aRb iff gcd(a; b) = 1 (that is, a and b have no common divisors greater than one). Explain whether R is reflexive, irreflexive, symmetri

What is the widest piece of sheetrock, A door height is 6 feet and 6 inches...

A door height is 6 feet and 6 inches and 36 inches wide. What is the widest piece of sheetrock that will ?t through the door? Round to the nearest inch. a. 114 in b. 86 in

Bar charts, I''m supposed to be writing a critique for my maths project whe...

I''m supposed to be writing a critique for my maths project where i compare the prices for different holidays. i don''t know what to write for a critique though, any tips on what w

Cooking measurement question, Ask question what is half of 1 1/3 liquid mea...

Ask question what is half of 1 1/3 liquid measurements?

Triangle treat, what letters to fill in the boxes

what letters to fill in the boxes

Transportation problems vogel approximation method, if there is a tie betwe...

if there is a tie between two penalties then how to make allocations?

Example of regression equation, Example of Regression Equation An inve...

Example of Regression Equation An investment company advertised the sale of pieces of land at different prices. The given table shows the pieces of land their costs and acreag

Basic mathematics, I need help with my homework, I am to the edge right now...

I need help with my homework, I am to the edge right now with this w=5pq/2

Left-handed limit, Left-handed limit We say provided we can mak...

Left-handed limit We say provided we can make f(x) as close to L as we desire for all x sufficiently close to a and x Note that the change in notation is extremely m

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