Question

Geometry question... I know the basics but ever answer I get doesn't sound right.

Answer 1

Here's the original drawing

ignoring the area value for now

Answer 2

If this shaded slice represents 50 degrees of the circle's area

then what is the unshaded portion's angle?
hint: a full circle is 360 degrees

Answer 3

In other words, what's this angle marked here

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jimthompson5910
If this shaded slice represents 50 degrees of the circle's area
Created with Raphaël50°KMJReply Using Drawing
then what is the unshaded portion's angle?
hint: a full circle is 360 degrees
\(\color{#0cbb34}{\text{End of Quote}}\)
310 degrees

Answer 5

correct

Answer 6

so 310/360 of the full circle is the green shaded area in your original diagram

(310/360)*(full circle area) = 56.87

Answer 7

Effectively you need to solve the equation
(310/360)*y = 56.87
where,
y = area of full circle

Answer 8

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jimthompson5910
so 310/360 of the full circle is the green shaded area in your original diagram

(310/360)*(full circle area) = 56.87
\(\color{#0cbb34}{\text{End of Quote}}\)
Ohhhhhh, i was putting 50/360 instead of that.

Answer 9

I see

Answer 10

Thank you soooo much, I understand now.

Answer 11

I'm glad it's clicking