Skills Check Optional Review: Conics (Bartels M3H)

Find the area of the sector. Leave in terms of \pi

m²

Find the area of the sector. Leave in terms of \pi

mi²

Find the arc length. Leave in terms of \pi

m

Find the arc length. Leave in terms of \pi

in

This is the year Janis is playing softball. She has been practicing her batting. On the last swing the bat made an arc with a radius of 48 inches and swept through 255\degree of rotation. Assuming the arc is circular, what is the distance the tip of the bat travels to the nearest hundredths.

inches

You have asked your landscaper to create a garden area in an oddly-shaped corner of your backyard. Regarding the fencing on the two sides of the corner as being radii, the corner's central angle is two-thirds of the circle. You'd like the landscaper to install a particular type of edging of which you have 14 2/3 feet, as the arc of circle whose center is pole where fences meet. To the nearest hundredths, what will be area of your new garden?

ft^2

Convert the general form circle equations to standard form. Identify the center, radius, area and circumference of the circle. Keep area and circumference in terms of \pi

Standard Form:

Radius:

Center:

Area:

Circumference:

Convert the general form circle equations to standard form. Identify the center, radius, area and circumference of the circle. Keep area and circumference in terms of \pi

Standard Form:

Radius:

Center:

Area:

Circumference: