Questions: Using the Shape Below, find the area of the shaded region. Round your answers to the nearest tenth (1 decimal place) if needed. Use 3.14 for π.

Transcript text: Using the Shape Below, find the area of the shaded region. Round your answers to the nearest tenth (1 decimal place) if needed. Use 3.14 for $\pi$

Solution

Solution Steps

Step 1: Calculate the area of the triangle

The area of a triangle is given by the formula: Area = (1/2) * base * height. In this case, the base (b) is 2.9 and the height (h) is 5.7. So, the area of the triangle is (1/2) * 2.9 * 5.7 = 8.265.

Step 2: Calculate the area of the circle

The area of a circle is given by the formula: Area = π * radius². The radius (r) is given as 17.1, and we are told to use 3.14 for π. So, the area of the circle is 3.14 * 17.1² = 3.14 * 292.41 = 918.1274.

Step 3: Calculate the area of the shaded region

The shaded region is the area of the circle minus the area of the triangle. Therefore, the area of the shaded region is 918.1274 - 8.265 = 909.8624.