Question

Circle A is shown with a central angle marked 30 degrees and the radius marked 5 inches.

Which of the following could be used to calculate the area of the sector in the circle shown above?

π(5in)30 over 360
π(5in)230 over 360
π(30in)25 over 360
π(30in)5 over 360

Answer 1

im pretty sure ive answered this same question at some point

we're asked to find the area of just a part of a circle.
\[A_p=\frac{\theta}{360} * \pi r^{2}\]
we're given that:
\[ \theta=30^o \]
\[ r=5(in) \]

that said, we get this equation:
\[ A_p=\frac{30^o}{360} * \pi \times 5(in)^{2} \]

Answer 2

or, by changing the places of the variables, to fit your answer it is:
\[ A_p= \pi \times 5(in)^{2} \times \frac{30^o}{360} \]
so, which option is the right one?

Answer 3

I never know math

Answer 4

π(5in)230 over 360

Answer 5

π(5in)^2 30 over 360

Answer 6

Idk why but people keep saying its π(30in)^2 5 over 360

Answer 7

So i am stuck between B.) and C.)

Answer 8

oh my lord -- how about you consider looking at A) and D)?

Answer 9

Here's another way you could think of it: A full circle has 360 degrees, so the section of the circle with 30 degrees will make up 30/360 of the circle, or 1/12 of the full circle.
In other words, the π(5in)^2 part represents the area of the entire circle, and the 30/360 part represents the fraction of the entire circle you're interested in.
tldr, Florisalreadytaken is right, no cap