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

What is fibonacci sequence, what is Fibonacci Sequence? The most famous...

what is Fibonacci Sequence? The most famous sequence in mathematical history is called the Fibonacci sequence, discovered by the 12th-century mathematician Leonardo Fibonacci o

Determine the area of the rectangle, Stuckeyburg is a very small town in ru...

Stuckeyburg is a very small town in rural America. Use the map to approximate the area of the town. a. 40 miles 2 b. 104 miles 2 c. 93.5 miles 2 d. 92 miles 2

Maximax method-decision making under uncertainty, MAXIMAX method Maxima...

MAXIMAX method Maximax method is based upon 'extreme optimism' the decision maker chooses that particular strategy which corresponds to the maximum of the maximum pay off for e

The sum of their ages is 104 how old is shari, Sam's age is 1 less than dou...

Sam's age is 1 less than double Shari's age. The sum of their ages is 104. How old is Shari? Let x = Shari's age and let y = Sam's age. Because Sam's age is 1 less than twice S

Fractions Word Problem, 1/8 of the passengers of a train were children.If t...

1/8 of the passengers of a train were children.If there were 40 children travelling in the train on a certain day,how many adults were there in that train that day?

Independent & Dependent functions, I am learning this at school today and I...

I am learning this at school today and I started getting confused which one is which, can you help me?

Tangents, two circle of radius of 2cm &3cm &diameter of 8cm dram common tan...

two circle of radius of 2cm &3cm &diameter of 8cm dram common tangent

Help, sin(x)+cos(x)

sin(x)+cos(x)

Second order differential equations, In the earlier section we looked at fi...

In the earlier section we looked at first order differential equations. In this section we will move on to second order differential equations. Just as we did in the previous secti

Percents, If 2/3 of a number is 24 then 1/4 of a number is...

If 2/3 of a number is 24 then 1/4 of a number is...

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