Answer:
Area = 13.20 to nearest hundredth.
Step-by-step explanation:
The ratio of the sides of an isosceles right-angled triangle is 1:1: sqrt2, so in this case the 2 legs each have length 7.
The radius of the circle = sqrt [ (s - a)(s - b)(s -c) / s] where s = the semi-perimeter.
s = (7sqrt2 + 7 + 7) / 2 = 11.9497
so the radius = sqrt [ ( 2.0502 * 4.9497 * 4.0497) / 11.9497) ]
= 2.05
So the area = pir^2 = 13.20
