Question

isosceles triangle ART is inscribed in circle W. if measure of RT=90, find
a. measure of angle RAT
b. measure of angle ART
c. measure of angle ATR
d. measure of arc AT
e. measure of arc RA​

Answer 1

Answer:

The hypotenuse of the right angled triangle is the diameter of the circle.

Let the sides containing the right angle be a units each.

=a

2

+a

2

=(2r)

2

where, r is the radius of the circle

⇒2a

2

=4r

2

⇒a=

2

r

∴ Remaining area = Area of circle - Area of triangle

=πr

2

−

2

1

(r

2

)(r

2

)

=πr

2

−r

2

=r

2

(π−1)