Question

The following circle is not drawn to scale. Find the area of the circle. (Use 22/7 as an approximation for T.)45cmWhat is the area of the circle? Round to one decimal place.Do not include units, cm², in your answer.

Answer 1

1591.1

Explanation:

The area A of a circle is given by the formula

`A=\pi r^2`

where r is the radius of the circle.

Now in our case r = 45/2 cm and pi = 22/7; therefore,

`A=(22)/(7)\cdot((45)/(2))^2`
`A=(22\cdot45^2)/(7\cdot4^2)`
`A=(22275)/(14)`

Converting the above in decimal form and then rounding the answer to one decimal place gives

`\boxed{A=1591.1}`

Hence, the area of the circle rounded to one decimal place is 1591.1 cm^2.