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

Marketing mix, 1) Identify key characteristics of product or services and e...

1) Identify key characteristics of product or services and estimate their significance to the market 2) Identify and analyse level of customer service provision to determine its si

MARKOV PROCESS, EXPLAIN HOW MARKOV PROCESS IS APPLIED IN BRAND SWITCHING?

EXPLAIN HOW MARKOV PROCESS IS APPLIED IN BRAND SWITCHING?

Calculate the area of the skirt to the nearest foot, Pat is making a Christ...

Pat is making a Christmas tree skirt. She needs to know how much fabric to buy. Using the example provided, calculate the area of the skirt to the nearest foot. a. 37.7 ft 2

Special forms of polynomial, Special Forms There are a number of nice s...

Special Forms There are a number of nice special forms of some polynomials which can make factoring easier for us on occasion. Following are the special forms. a 2 + 2ab +

Green''s funtion., show that the green''s function for x"=0,x(1)=0,x''(0)+x...

show that the green''s function for x"=0,x(1)=0,x''(0)+x''(1)=0 is G(t,s)=1-s

Scanning the demographic environment, I am working for supermarket chain an...

I am working for supermarket chain and responsible for the customer relationship management.The chain is planning to open exclusive thirst quenching service centers.These outlets w

Assignment help, How do get help with my work? should i just type it in thi...

How do get help with my work? should i just type it in this box...? sorry thanks!

Polynomials in two variables, Polynomials in two variables Let's take a...

Polynomials in two variables Let's take a look at polynomials in two variables.  Polynomials in two variables are algebraic expressions containing terms in the form ax n y 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