Question

10 mark for review circle k has a radius of 4 millimeters (mm). circle l has an area of 100π mm². what is the total area, in mm², of circles k and l? a 14π b 28π c 56π d 116π

Explanation:

Step1: Calculate Area of Circle K

The formula for the area of a circle is \( A = \pi r^2 \). For Circle K, \( r = 4 \) mm. So, \( A_K=\pi\times4^2 = 16\pi \) \( \text{mm}^2 \).

Step2: Find Total Area of K and L

Circle L has an area of \( 100\pi \) \( \text{mm}^2 \). Total area \( A = A_K + A_L = 16\pi + 100\pi = 116\pi \) \( \text{mm}^2 \).

Answer:

D. \( 116\pi \)