how to find surface area of a circle using diameter?
To find the surface area of a circle using the diameter, follow these steps:
1. Find the radius of the circle by dividing the diameter by 2. So, if the diameter is 14, the radius would be 7 (14/2=7).
2. Use the formula for the surface area of a circle, which is A = πr^2, where A is the surface area and r is the radius.
3. Plug in the radius you found in step 1 into the formula. So, if the radius is 7, the formula would be A = π(7)^2.
4. Square the radius (7^2=49) and multiply by π (3.14). So, A = 3.14 * 49 = 153.86.
5. Therefore, the surface area of the circle with a diameter of 14 is approximately 153.86 square units.
were tdid the 49 come from?
Apologies for the confusion in my explanation. Let me clarify:
When finding the surface area of a circle using the diameter, the first step is to find the radius by dividing the diameter by 2. In this case, if the diameter is 14, the radius would be 7.
The formula for calculating the surface area of a circle is A = πr^2, where A is the surface area and r is the radius.
So, when plugging in the radius of 7 into the formula, the calculation should be A = π(7)^2, where (7)^2 means 7 squared.
To find the value of (7)^2, you simply multiply 7 by 7, which equals 49. So, the correct calculation would be A = π*49, which simplifies to A ≈ 153.94 when multiplied by the value of π (approximately 3.14159).
Therefore, the surface area of the circle with a diameter of 14 is approximately 153.94 square units.