Question

10. AC and BD are two perpendicular diameters of
a circle as shown in the figure. If the area of the
shaded part is 616 cm?, calculate
(a) the length of AC and
(b) the circumference of the circle.​

Answer 1

a) (AC/2)=(BD/2) - is radius

So, Area of triangle = pi * r(radius)^2

Area of triangle =616 cm square

Therefore, 616 = pi * r^2

616/pi= r^2

616/(22/7)

=(616*7)/22=28*7=196

r^2 = 196

( AD/2)^2=196

(AD^2)/4=196

AD = Sq. root of (196*4)

AD = Sq. root of (784)

So,AD = 28 cm

b) circumference of circle = pi * AD

So, 28 * pi

=28* 22/7

=4 * 22

= 88 cm