Question

Find the area of the shaded region in the given figure. If BC=BD=8cm, AC=AD=15cm and O is the centre of the line ( π = 3.14)​

Answer 1

Step-by-step explanation:

there will be right angles at C and D points as shown in the figure

then AB will be the hypothesis of the right angle triangle ACB

then from pythogorous theroem,

(AB)^2=(AC)^2+(CB)^2

(AB)^2= (15)^2+(8)^2 = 225+64 =289

(AB)=√(289)

AB=17 cm

AB is the diameter of the circle

then radius of the circle is AB/2=17/2

area of shaded region(A.S.R)=area of circle-2(area

of triangle)

A.S.R=πr^2-2(1/2)(base)(height)

A.S.R=(3.14)(17/2)^2-(8)(15)

A.S.R=(3.14)(289/4)-(120)

A.S.R=226.865-120

A.S.R=106.865 cm^2