In a circle with a radius of 8 ft, an arc is intercepted by a central angle of 3π4 radians.

what is the length of the arc?

The arc length  is, 18.84 ft.

Step-by-step explanation:

Length of an arc is given by:

             .....[1]

where r is the radius of the circle and is the angle in radian.

As per the statement:

In a circle with a radius of 21 5/8 yd, an arc is intercepted by a central angle of radians

⇒r = 8 ft

and radian

Substitute these values in [1] we have;

ft.

therefore, the arc length  is, 18.84 ft.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

a orange at the grocery store idk what other product that could be