Answer:
49 π m^2 or 153.86 m^2
Step-by-step explanation:
The formula for finding the area of a circle is "Area= (pi) radius^2. What is shown in the image above is the diameter; (the line that goes all the way across the circle is the diameter, the one that only goes half way across is called the radius). With that said, the radius = 1/2 of the diameter.
Steps:
1. Since we are given the diameter but need the radius for our equation, start out by dividing the diameter by 2 to get the radius. (14 divided by 2). The radius is 7.
2. Now, I'm assuming your teacher wants you to find the exact value of the area of the circle. If you are asked for the exact value, leave your answer in terms of pi. If they want an approx. answer, you can use 3.14 as pi.
3. Ok so now you want to plug in the info we found into our formula (area = (pi) radius^2). This will look like:
area = pi*7^2. --> 7^2 is the same as 7x7, aka 49.
Area = pi49.
4. This is what I was talking about earlier- for an exact area, write down 49 pi (or the pi symbol). If they want a rounded answer, multiply 49 by 3.14, which will get you 153.86.
5. Write m^2 after your answer, teachers are usually picky about units :)
I hope this was able to help <3