Sunday

December 21, 2014

December 21, 2014

Posted by **Piggy** on Thursday, May 10, 2012 at 1:16am.

- geometry -
**MathMate**, Thursday, May 10, 2012 at 9:19amAll right-triangles inscribe in a circle with a diameter equal to the hypotenuse.

Therefore for the 30-60-90 triangle, the radius of the circle is 6 inches, and the short side is also 6 inches. The height is 6sqrt(3), so the area of the triangle is

At=36sqrt(3)/2 = 18 sqrt(3) sq.in.

The area of the circle is

Ac=π6^2=36π

The probability of falling inside the circle and outside the triangle is therefore

P(C\T)=(Ac-At)/Ac

- geometry -
**Piggy**, Thursday, May 10, 2012 at 10:50pmthe quesiton is land in the circle, but outside the triangle. Is it the probability is (AC - AT)/AC

81.22/113 x 100%

= 72%

- geometry -
**MathMate**, Friday, May 11, 2012 at 8:08amCorrect.

I get

P(C\T) (probability inside circle minus triangle)

=(Ac-At)/Ac

=81.92/113.1=72.4%

**Answer this Question**

**Related Questions**

geometry - A 30-60-90 triangle is inscribed in a circle. The length of the ...

Geometry - If a circle with center O has equilateral triangle AOB inscribed with...

Math - The radius of the inscribed circle is 5. If the length of the hypotenuse ...

geometry - The radius of the inscribed circle is equal to twice the area of the ...

math/geometry - complete the statements: To find the length of the hypotenuse of...

GEOMETRY CIRCLE - 1.An isosceles triangle with each leg measuring 13 cm is ...

GEOMETRY CIRCLES PLEASE - 1.An isosceles triangle with each leg measuring 13 cm ...

GEOMETRY CIRCLES - 1. Ab is a chord of a circle with center o and radius 52 cm...

Geometry about the circles - 1. Ab is a chord of a circle with center o and ...

Geometry about the circles - 1. Ab is a chord of a circle with center o and ...