Question

At a school play, there is a spotlight Above the center of the floor that covers a lightend area with a radius of 7 feet. What is the area covered by the spotlight

Answer 1

The are of the spotlight is 14.4m

Explanation:

Step one :

To find the area of the spotlight

First let us understand that the shape is a circle since it's a spotlight

Hence we will use the formula for area of a circle which is

A=πr²

Step two :

Given r= 7feet - - - >metre =2.14m

i.e

1foot =0.305m

7feet =xm

Crosss multiplying we have

X=7*0.305=2.14m

π= 3.142

Step three :

Substituting into the formula we have

A=3.412*2.14²

A=3.142*4.58

A=14.4m

Answer 2

154 square feet

Explanation:

Extracting the key information from the question:-

*** At school play, there's spotlight above centre of floor.

*** This covers a light end area with radius 7 feet.

*** We are required to calculate the area covered by the spotlight.

In other words, we are basically required to calculate the area of a circle because it is almost certain that the area it covers will be a perfect circle. So all we need to do is to put down the formula for calculating the area of a circle.

We already know that the radius here is 7 feet. We will now simply draft this into the formula and we are good to go.

Formula for area of a circle = πr^2. π = 22/7, r = radius = 7 feet.

Then 22/7 × 7 × 7

= 154 feet^2. The area that is covered by the spotlight which is a perfect circle = 154ft^2