Question

given circles k and l below. find the area of the shaded region. round your answer to the nearest tenth if necessary. answer attempt 1 out of 3

Explanation:

Step1: Determine radii of circles

Radius of L: \( r_L = 7 \); Radius of K: \( R_K = 2 \times 7 = 14 \)

Step2: Calculate areas of circles

Area of K: \( \pi R_K^2 = \pi (14)^2 = 196\pi \); Area of L: \( \pi r_L^2 = \pi (7)^2 = 49\pi \)

Step3: Find shaded area

Shaded area: \( 196\pi - 49\pi = 147\pi \approx 461.8 \)

Answer:

461.8