Find the probability that an object falling randomly on the figure will land in the shaded area.

A. 0.32
B. 0.36
C. 0.5
D. 0.26

Question

Find the probability that an object falling randomly on the figure will land in the shaded area.

A. 0.32
B. 0.36
C. 0.5
D. 0.26

anonymous · Answer

attachment

callisto · Answer

Do you know what the shaded area is?

anonymous · Answer

in all honesty I have no idea what I'm doing with this problem.

callisto · Answer

The goal is to find the probability.
To find the probability, you need to find the area of the shaded region and the circle.

anonymous · Answer

so put 20 into the formula for area of a circle like A=3.14*20^2?

callisto · Answer

Nope. 20 is the diameter, while the formula for area of circle is $Area = 2\pi r$, r is the radius.

anonymous · Answer

then whats's the radius? Or do you have to find it?

callisto · Answer

You have to find it, but that's easy - diameter = 2 times radius.

anonymous · Answer

so 40?

anonymous · Answer

wait.. no, I'm so confused now..

callisto · Answer

$$diameter = 2 radius$$Divide both sides by 2$$radius = ...?$$

anonymous · Answer

10?

callisto · Answer

Bingo!!

anonymous · Answer

so now what do i have to do? To find the probability?

callisto · Answer

Find the area of the shaded region

anonymous · Answer

with this formula A=pi*r

callisto · Answer

Nope. The shaded region is a triangle.

anonymous · Answer

Oh!!!! Okay I got it now! Thank you so so so so so much!!!

callisto · Answer

You're welcome :)