Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given that r = 3.0 cm and θ = π4

The required length is 37.68 cm

Step-by-step explanation:

We have given the radius of  which is 3 cm and  which is

We will use

We know the formula for length of arc which is:

length of arc=radius x angle

We will substitute the values given we will get:

Hence, the required length is 37.68 cm

The arc length of a circle is, 2.355 cm

Step-by-step explanation:

Use the fact  that the length of an arc intercepted by an angle is proportional to the radius.

Let l be the length of an arc and r be the radius of the circle.

then;

then;

          .....[1]

It is also given: r = 3 cm and

Substitute the given values in [1] we have;

Use

cm

Therefore, the arc length of a circle is, 2.355 cm

answer: 75°

step-by-step explanation:

∠esk is the supplement of ∠edk, so is 100°. ∠esd = 1/2·arc ed, so is 25°.

since ∠esk = ∠esd + ∠dsk

you have 100° = 25° + ∠dsk . .

fill in known values 75° = ∠dsk . . . . .

subtract 25°

step-by-step explanation: