Question

A circle has a diameter of 8 inches. What is the area of this circle? Use 3.14 for pi.

(100 POINTS I NEED THE ANSWER SO I PASS THIS YEAR)

Answer 1

Given that a circle has a diameter of 8 inches and we are required to find its area using 3.14 as pi.

We know that the formula for calculating the area of a circle is A = πr², where A is the area, π is the mathematical constant pi (approximately 3.14), and r is the radius of the circle.

Since we are given the diameter of the circle, we can calculate its radius using the formula: radius (r) = diameter/2

Therefore, the radius of this circle is: r = 8/2 = 4 inches

Now, we can calculate the area of the circle using the formula: A = πr² Substituting the value of r, we get: A = 3.14 x 4² A = 3.14 x 16 A = 50.24 square inches

Therefore, the area of the circle is 50.24 square inches.

Answer 2

The answer is:

50.24 in²

Work/explanation:

The formula for the circle's area :

`\sf{A=\pi r^2}`

where :

• A = area
• π = 3.14
• r = radius

We know the diameter, but the radius is one-half of that, so the radius is :

• Radius = Diameter ÷ 2 = 8 ÷ 2 = 4 inches

Here's a diagram for better understanding:

`\setlength{\unitlength}{1.1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\small 4\ in}\end{picture}`

Now, plug in the data:

`\large\begin{gathered}\bf{A=\pi r^2}\\\\\bf{A=3.14*4^2}\\\\\bf{A=3.14*16}\\\\\bf{A=50.24\:in^2}\end{gathered}`

Therefore, the area is 50.24 in².