Question

Roscoe traced around the bottom of a can to draw a circle. tell whether each statement about Roscoe 's circle is true. use 3.14 for pie

Answer 1

Answer with Step-by-step explanation:

a.If the circle has circumference of
`6\pi` in,then it has a diameter of 3 in.

Circumference of circle=
`6\pi`in

We know that

Circumference of circle=
`2\pi r`

Using the formula

`6\pi=2\pi r`

`r=(6\pi)/(2\pi)=3`in

Diameter of circle=
`2* 3=6`in

It is false.

b.f the circle has diameter of 2 inches,then it has a circumference of 6.28 in.

Diameter,d=2 in

Circumference of circle=
`\pi d=3.14 * 2=6.28`in

It is true.

c.If the circle has a circumference of
`2\pi`in then it has an area
`\pi` square inches.

Circumference=
`2\pi`in

`2\pi r=2\pi`

`r=(2\pi)/(2\pi)=1`in

Area of circle=
`\pi r^2=\pi(1)^2=\pi in^2`

It is true.

d.If the circle has a circumference of
`\pi`in then it has an area
`0.5\pi` square inches.

Circumference=
`\pi`in

`2\pi r=\pi`

`r=(\pi)/(2\pi)=(1)/(2)in`

Area of circle=
`\pi((1)/(2))^2=0.25\pi in^2`

It is not true.

e.If the circle has a radius of 1.5 inches,then it has an area of 7.065 square inches.

Radius,r=1.5 in

Area of circle=
`3.14* (1.5)^2=7.065in^2`

It is true.