Find the area of the shaded region, Mathematics

ABC is a right angled triangle in which ∠A = 900. Find the area of the shaded region if AB = 6 cm, BC=10cm & I is the centre of the Incircle of ?ABC.


Ans: ∠A =900

BC = 10cm; AB = 6cm;
∴ AC = 6cm

Area of the Δ =1/2 x 6 x 8= 24 cm2

Let the Radius of the Incircle be r

∴ 1/2 x 10 x r + 1/2 x 8 x r +1/2 x 6 x r = 24

1/2 r [10 + 8 + 6] = 24

r= 2 cm

∴ Area of circle = Π r2 = 22/7 x 2 x 2 = 88/7 cm2

Area of shaded region = 24 - 88/7 = 168 - 88/7 = 80/7 cm2

Posted Date: 4/10/2013 6:01:26 AM | Location : United States

Related Discussions:- Find the area of the shaded region, Assignment Help, Ask Question on Find the area of the shaded region, Get Answer, Expert's Help, Find the area of the shaded region Discussions

Write discussion on Find the area of the shaded region
Your posts are moderated
Related Questions
Determine equation of the tangent line to f (x) = 4x - 8 √x  at x = 16 . Solution : We already know that the equation of a tangent line is specified by,

find the radius of circumcircle of an equilateral triangle of 6root3 one side.

Example:   If c ≠ 0 , evaluate the subsequent integral. Solution Remember that you require converting improper integrals to limits as given, Here, do the integ

x^2-5x+4 can written in roots as (x-1)*(x-4) x^2-4 can be written interms of (x-2)(x+2).so [(x-1)(x-4)/(x-2)(x+2)]

Venn Diagram - Set theory and calculus A easy way of representing sets and relations among sets is by means of the Venn diagram. Venn diagram includes of a rectangle that pres

How we find locus of the middle points of chord of an ellipse which are drawn through the positive end of the minor axes

It takes light 5.3 × 10 -6 seconds to travel one mile. What is this time in standard notation? In order to convert this number to standard notation, multiply 5.3 through the f

prove same homotopy type is an equivalent relation

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=90 o , w