Question

Please help me find RS, PQ, PS, RQ, and PRQ

Answer 1

The arc equals the angle so
RS= 150°
PQ= 72°
PS= 73°
RQ= 65°
PRQ= 108°

Answer 2

Length of arc PQ = 8.1 inches

Explanation:

In the circle graph, we are given the central angle of each arc length.

Let's find the missing central angle of arc PQ.

The whole circle is 360°

So, the central angle of arc length PQ = 360° - (150 + 65 + 73)

= 360 - 288

Central angle of arc PQ = 72°

Now we have to find the arc length of PQ.

Here we have to use formula:

Arc length =
`(central angle)/(360) *2*pi*r`

Here central angle = 72°, r = 6.48 and the value of π = 3.14

Now plug in these values in the above formula, we get

Length of arc PQ =
`(72)/(360) *2*3.14*6.48`

=
`(40.69)/(5)`

Length of arc PQ = 8.1 inches (Rounded to the nearest tenths place]