Need these answered, ASAP!!!!

Question

1. What is the area of a sector with a central angle of π3 radians and a radius of 12.4 m? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.
2. A 72° sector in a circle has an area of 16.4π yd². What is the area of the circle? Use 3.14 for pi. Enter your answer as a decimal in the box.

Answer 1

Key concepts:

1. Consider a pizza - full pizza is a circle (top view). A slice is a sector.
2. Radians to degrees: π radians = 180°
3. Central angle in a circle = 360° or 2π radians

Area of a circle = π r² for circle;

Given sector's angle is π/3 radians = 180°/3 = 60°. How many sectors each of 60° will fit in a 360° circle?

Complete the problem with this concept.