🔍 Key Concepts

• Use the circle’s circumference to find its radius first using the formula C = 2πR. • Notice the shaded region is a circular segment formed by a sector minus a right triangle inside the circle. • Area of shaded region = (area of the sector) − (area of the right triangle).

💭 Think About

• What is the radius if the circumference is 50.24 feet and you use π ≈ 3.14? • What fraction of the full circle is represented by the central right angle shown (the little square)? • Once you know that fraction, what is the area of the corresponding sector, and how does the area of the right triangle with legs equal to the radius compare?

✅ Before You Answer

• Be sure you correctly compute R from C using ( C = 2\pi R ). • Confirm what portion of 360° the central right angle represents before finding the sector area. • Carefully subtract triangle area from sector area and keep units in square feet.