Step-by-step explanation:
The ratio's can be expressed as fractions and you may compare those.
In order to compare fractions you need to bring them into equal denominator.
8 and 9 have LCM of 8*9 = 72 since they have no common factors.
<u>The equivalent fractions with common denominator are:</u>
- 5/8 = 9*5/(9*8) = 45/72
- 7/9 = 8*7/(8*9) = 56/72
<u>Now we can compare the fractions:</u>
- 45/72 < 56/72, since 45 < 56
I think the shaded region for this problem will the part of the circle that is not covered by the triangle. First, determine the area of the circle by the equation,
A = πD²/4
Substituting the given diameter,
A = π(16 ft)²/4 = 200.96 ft²
Then, determine the area of the triangle with the equation,
A = bh/2
Since the base of the triangle is the diameter, b = 16 ft. Then, its height will be half the height and that will be equal to 8 ft. Substituting,
A = (16 ft)(8 ft) / 2 = 64 ft²
The difference between the two areas is 136.96 ft².
I need to see the figures
