Question

Find the area of a circle inscribed in a right angled triangle with sides 8m , 15m and 17m.
A)9π m²
B) 100/9π m²
C) 14π m²
D) 10π m²


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Answer 1

Answer:

9pie.m.sq

Step-by-step explanation:

r=3m

area =pie r sq

=9pie. r sq

Answer 2

Answer:

A) 9π m² (100/9π m²) ✓

Step-by-step explanation:

Area of △ABC = 1/2 × b × h

= 1/2 × 8 × 15=60 m²

Let r be radius of circle ∴OE=OF=OD = r

∴ Area of △AOB = 1/2 × AB × OD

= 1/2 × 15 × r⟶1

Area of △AOC= 1/2 × AC × OF

= 1/2 × 17 × r⟶2

Area of △BOC= 1/2 × BC × OE

= 1/2 × 8 × r⟶3

Area of △AOB + Area of△AOC + Area of △BOC = Area of △ABC

= 15/2 r + 17/2 r + 8/2 r=60

40r = 120⇒r = 3m

∴ Area of circle = πr²

= 9π m²