Question

PLease help me ASAP!!!

Answer 1

Question -:

A circular plate has a circumference 20.7 inches . What is the area of the plate.

Explanation -:

In this problem we are provided the circumference of the circular plate which is 20.7 inches and asked to find the area of the circular plate.

`\small \underline{ \underline{\rm \purple{ {First \: we \: will \: calculate \: the \: value \: of \: r}}}}`

We know,

`\orange \star \: \large \boxed{ \orange{ \rm{ Circumference_((circle)) = 2πr}}}`

Where,

• r stand for radius
• Assuming π as 3.14

Substituting the values we get

`\small\bf{ 20.7 = 2 × 3.14 × r}`

`\small\rm{ \cancel(20.7)/(2) =3.14 × r}`

`\rightarrow \small\rm{ 10.35 =3.14 × r}`

`\rightarrow \small\rm{ \cancel ( 10.35 )/(3.14) = r}`

`\small \rm \red{r \approx 3.29inches}`

`\small \underline{ \underline{ \purple{\rm Now \: we \: will \: calculate \: the \: area \: of \: the \: circular \: plate}}}`

`\pink\star \: \large\boxed{ \rm{ \pink{Area_((circle)) = πr²}}}`

`\small\bf{ Area_((circle)) = 3.14 × {3.29}^(2) }`

`\small\rm{ Area_((circle)) = 3.14 × 10.82}`

`\small\rm \red{{Area_((circle)) \approx33.97inches} }`

Area of the circular plate ≈ 33.97 inches

Answer 2

About 34 inches²

Explanation:

Circumference of a circle:

C = 2πr

20.7 inches = 2(3.14)r

20.7 inches = 6.28r

r ≈ 3.296 inches

Area of a circle:

A = πr²

A = (3.14)(3.296)²

A ≈ 34.13 inches²

The plate is about 34 inches².