In the circle illustrated, the circumference...

Question 1 / 270705eccef9dbacbc34ba4d45dea

Question 1 of 270705eccef9dbacbc34ba4d45dea

In the circle illustrated, the circumference is 48.62 feet. What is the area of the shaded portion? See illustration GS-0134.

Back

Question 1 of 27070

In the circle illustrated, the circumference is 48.62 feet. What is the area of the shaded portion? See illustration GS-0134.

If the question has a related picture, it will appear here.

🔍 Key Concepts

• Use the circle circumference formula C = 2πR to find the radius from 48.62 feet. • Notice the shaded region is bounded by a circular arc and the hypotenuse of a right triangle whose legs are radii of the circle. • The shaded area can be found as (area of a sector) − (area of a right triangle) for a certain central angle.

💭 Think About

• What is the radius of the circle if its circumference is 48.62 feet, using π ≈ 3.14? • What fraction of the full circle is represented by the angle between the two radii that form the sides of the right triangle? • Once you know that fraction, what is the area of that sector, and how do you subtract the triangle’s area (with legs equal to the radius) to get the shaded area?

✅ Before You Answer

• Be sure you compute the radius R correctly from the circumference before doing any area work. • Confirm whether the central angle at the right-angle mark is 90°, and thus what fraction of the circle that represents. • Carefully calculate and compare the sector area and triangle area, then see which answer choice matches their difference.

Question 1 of 27070

In the circle illustrated, the circumference is 48.62 feet. What is the area of the shaded portion? See illustration GS-0134.

14.1 square feet

15.1 square feet

16.1 square feet

17.1 square feet

Question 1 / 270705eccef9dbacbc34ba4d45dea

Question 1 of 270705eccef9dbacbc34ba4d45dea

In the circle illustrated, the circumference is 48.62 feet. What is the area of the shaded portion? See illustration GS-0134.

Back

Question 1 of 27070

In the circle illustrated, the circumference is 48.62 feet. What is the area of the shaded portion? See illustration GS-0134.

If the question has a related picture, it will appear here.