The diameter of a pizza is 30 cm. What is the area (in of the upper surface of a sector of the pizza whose arc length is 8 cm?Question 7Answera.120 b.720c.80d.60
Question
The diameter of a pizza is 30 cm. What is the area (in of the upper surface of a sector of the pizza whose arc length is 8 cm?Question 7Answera.120 b.720c.80d.60
Solution
To solve this problem, we need to use the formula for the area of a sector of a circle, which is (θ/2π) * πr², where θ is the central angle of the sector and r is the radius of the circle. However, we don't have the central angle, but we do have the arc length, which is 8 cm.
The circumference of the whole pizza (circle) is πd = π*30 cm = 94.248 cm (approximately).
The ratio of the arc length to the circumference gives us the ratio of the sector to the whole circle, which is 8/94.248 = 0.0848 (approximately).
The area of the whole pizza (circle) is πr² = π*(d/2)² = π*(30/2)² = 706.858 cm² (approximately).
So, the area of the sector is the area of the whole pizza times the ratio we found earlier, which is 706.858 * 0.0848 = 59.9 cm² (approximately).
Therefore, the closest answer is d. 60 cm².
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