if a circle has half of one quarter of its overall area shaded, what would the percent of the shaded area be
1/2 * 1/4 = 1/8
1/8 = 0.125 = 12.5%
To find the percent of the shaded area in the circle, we need to first understand the fractions involved.
Here's a step-by-step explanation:
Step 1: Understand the fractions involved.
- We know that half of one quarter of the overall area is shaded.
- If we represent the overall area of the circle as 1 (or 100%), then one quarter of this area will be 1/4, and half of one quarter will be (1/4) * (1/2) = 1/8.
Step 2: Convert the fraction to a percentage.
- To convert the fraction 1/8 to a percentage, we divide the numerator by the denominator and then multiply by 100.
- (1/8) * 100 = 12.5
Step 3: Find the percent of the shaded area.
- Since the shaded area represents 1/8 of the overall area, the percent of the shaded area is 12.5%.
Therefore, the percent of the shaded area in the circle would be 12.5%.