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.

Respuesta :

Answer:

1591.1

Explanation:

The area A of a circle is given by the formula

[tex]A=\pi r^2[/tex]

where r is the radius of the circle.

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

[tex]A=\frac{22}{7}\cdot(\frac{45}{2})^2[/tex][tex]A=\frac{22\cdot45^2}{7\cdot4^2}[/tex][tex]A=\frac{22275}{14}[/tex]

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

[tex]\boxed{A=1591.1}[/tex]

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