A triangle has corners at $(5, 8)$ $(5 ,8 )$ , $(3, 9)$ $(3 ,9 )$ , and $(4, 7)$ $(4 ,7 )$ . What is the area of the triangle's circumscribed circle?

Question

A triangle has corners at $(5, 8)$ $(5 ,8 )$ , $(3, 9)$ $(3 ,9 )$ , and $(4, 7)$ $(4 ,7 )$ . What is the area of the triangle's circumscribed circle?

1 Answer

Related questions

A triangle has sides with lengths of 4, 6, and 9. What is the radius of the triangles inscribed circle?
A triangle has sides with lengths of 1, 6, and 2. What is the radius of the triangles inscribed circle?
A triangle has sides with lengths of 1, 4, and 2. What is the radius of the triangles inscribed circle?
A triangle has sides with lengths of 6, 4, and 2. What is the radius of the triangles inscribed circle?
A triangle has sides with lengths of 6, 4, and 3. What is the radius of the triangles inscribed circle?
A triangle has sides with lengths of 8, 4, and 3. What is the radius of the triangles inscribed circle?
A triangle has sides with lengths of 8, 4, and 6. What is the radius of the triangles inscribed circle?
A triangle has sides with lengths of 8, 7, and 6. What is the radius of the triangles inscribed circle?
A triangle has sides with lengths of 2, 7, and 6. What is the radius of the triangles inscribed circle?
A triangle has sides with lengths of 3, 7, and 6. What is the radius of the triangles inscribed circle?

Impact of this question

1551 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-28T02:32:44

the area of the circle inscribed = 0.8160

Explanation:

the triangle is isoceles, side lengths = $\sqrt{5}, \sqrt{5} and \sqrt{2}$ $sqrt5, sqrt5 and sqrt2$
triangle area (A) = $\frac{1}{2} \times \sqrt{2} \times \frac{3}{\sqrt{2}} = \frac{3}{2}$ $1/2xxsqrt2xx3/sqrt2=3/2$
triangle perimeter (P) = $\sqrt{5} + \sqrt{5} + \sqrt{2} = 2 \sqrt{5} + \sqrt{2} = 5.8863$ $sqrt5+sqrt5+sqrt2=2sqrt5+sqrt2=5.8863$
inradius (r) = $\frac{2 A}{P}$ $(2A)/P$ = $2 \times \frac{1.5}{5.8863} = 0.50965$ $2xx1.5/5.8863=0.50965$
area of the circle = $π \times r^{2} = π \times {(0.50965)}^{2}$ $pixxr^2 = pixx(0.50965)^2$
$= 0.8160$ $=0.8160$

Science

Math

Humanities

... and beyond

A triangle has corners at $(5, 8)$ $(5 ,8 )$ , $(3, 9)$ $(3 ,9 )$ , and $(4, 7)$ $(4 ,7 )$ . What is the area of the triangle's circumscribed circle?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

A triangle has corners at (5,8)(5 ,8 ), (3,9)(3 ,9 ), and (4,7)(4 ,7 ). What is the area of the triangle's circumscribed circle?

1 Answer

Explanation:

Related questions

Impact of this question

A triangle has corners at $(5, 8)$ $(5 ,8 )$ , $(3, 9)$ $(3 ,9 )$ , and $(4, 7)$ $(4 ,7 )$ . What is the area of the triangle's circumscribed circle?