Question

A spotlight can be adjusted to effectively light a circular area of up to 7

meters in diameter. What is the maximum number of square meters
that can be effectively lit by the spotlight?
(Draw a circle with a diameter of 7 meters, then solve.)

Answer 1

Diameter of the spotlight is 7 meters

Radius=Diameter/2=7/2 meters=3.5 meters

Area of the circular spotlight is :---

π×(radius)² =22/7×3.5×3.5=38.5 meter²

The maximum number of square meters that can be effectively lit up by the spotlight is 38.5 square meters.

Answer 2

• 38 square meters

Explanation:

Use the circle area formula:

• A = πr² = πd²/4

Substitute the value of the diameter and calculate:

• A = 3.14*7²/4
• A = 38.465 m²

Maximum number of square meters is 38