Question

7) The diameter on a scale drawing of a circular clock is 11 inches. Find the area, in square inches, of theactual clock if the scale on the drawing is -inches represents inches of the actual clock. Round to thenearest tenth.1lin

Answer 1

we know that

3/4 inches represents 3 inches of actual clock ----> given

so

Applying proportion

Find out how much represents 11 inches in the actual

3/0.75=x/11

solve for x

x=(3/0.75)*11

x=44 in

that means

The diameter of the actual clock is 44 inches

so

the radius of the actual clock is

r=44/2=22 in

Find out the area

`\begin{gathered} A=pi*r^2 \\ A=pi*22^2 \\ A=1,520.5\text{ in}^2 \end{gathered}`

The area is 1,520.5 square inches