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]

S1NGH

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

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