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

Determine the solution to initial value problem, Find the solution to the s...

Find the solution to the subsequent IVP. ty' - 2y = t 5 sin(2t) - t 3 + 4t 4 , y (π) = 3/2 π 4 Solution : First, divide by t to find the differential equation in the accu

Dividing fractions by fractions with drawing.., how do I divide a fraction ...

how do I divide a fraction by a fraction by drawing a picture

Array -categories of multiplication, Array - when items are arranged in a ...

Array - when items are arranged in a regular rectangular pattern of rows and columns, counting how many there are. (e.g., if there are 3 rows of 5 girls each, how many girls are t

Find the 14th term in the arithmetic sequence. 60, Find the 14th term in t...

Find the 14th term in the arithmetic sequence. 60, 68, 76, 84, 92

Calcilate the height of the cone of which the bucket , A bucket of height 8...

A bucket of height 8 cm and made up of copper sheet is in the form of frustum of right circular cone with radii of its lower and upper ends as 3 cm and 9 cm respectively. Calculate

Write following in terms of simpler logarithms, Write following in terms of...

Write following in terms of simpler logarithms.  (a) log 3 (9 x 4    / √y) Solution log 3 (9 x 4 / √y) =log ­ 3 9x 4 -  log  y (1/2) =log ­ 3 9 + log ­ 3 x 4

Fermat''s little theorem, 1. How many closed necklaces of length 7 can be m...

1. How many closed necklaces of length 7 can be made with 3 colors? (notice that 7 is a prime) 2. How many closed necklaces of length 10 can be made with 3 colors (this is di erent

Geometry, which kind of triangle has no congruent sides ?

which kind of triangle has no congruent sides ?

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