Respuesta :
Answer:
314 square inches
Step-by-step explanation:
d = 20 in
r = 20/2 = 10 in
[tex]area \: of \: circle = \pi {r}^{2} \\ = 3.14 \times {10}^{2} \\ = 3.14 \times 100 \\ = 314 \: {inches}^{2} \\ [/tex]
Answer:
314 inches²
Step-by-step explanation:
We know this circle has a diameter of 20 inches and we want to find the area so we need 1 formula for this question
→ Area of a circle = π × r² where 'r' is the radius
We need to find the radius of the circle using the diameter and then substitute that into the area of a circle formula so
We only have the diameter but we have to half to find the radius so 20 ÷ 2 = 10
Now let's substitute the radius of the circle into the area of a circle formula
Area = π × r²
⇒ Substitute in 3.14 for π and 10 for r
Area = 3.14 × 10²
⇒ Simplify
Area = 314 inches²
So the area of this circle is 314 inches²