Question

Q.6 ABCD is a square with one vertex at the center of the circle and two
vertices on the circle. What is the length of AC if the area of the circle is 1386
square cm?
6​

Answer 1

Answer:

132cm

Step-by-step explanation:

Step-by-step explanation:

Area of a circle of radius r =ír 2

=1386cm

27

22xr 2

=1386cm

2r 2

=441cm

2r=21cm

Circumference of a circle of radius r =2πr

Circumference of circle of radius 21cm=2× 7

22×21=132cm

Answer 2

Answer:

ABCD is a square with one corner in the center of the circle and two other corners on the circle’s edge. This makes each side of the square equivalent in length to the radius of the circle. AC is opposite corners of the square, so you want the diagonal of the square.

Through the Pythagorean theorem, we know that the diagonal of the square is sqrt2 times the length of each side.

So — now find the circle’s radius. Area of a circle is pi∗r2 , so :

A=pi∗r2

616cm2/pi=r2

r=sqrt(616cm2/3.14159)

AC=sqrt(2)∗r

AC=sqrt(1232cm2/3.14159)