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Find the measure of each are of
o.P, where
bar(RT) is a diameter.
Arc RT=
qquad
Arc RS=
qquad
Are ST=
qquad

$2$ . Find the measure of each are of $\odot P$ , where $\overline{R T}$ is a diameter. $\newline$ Arc RT= $\qquad$ $\newline$ Arc RS= $\qquad$ $\newline$ Are ST= $\qquad$

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Find derivatives using the quotient rule II

Full solution

Q.

2

. Find the measure of each are of

\odot P

, where

\overline{R T}

is a diameter.

\newline

Arc RT=

\qquad

\newline

Arc RS=

\qquad

\newline

Are ST=

\qquad

Identify Circle Division: Identify that a diameter of a circle divides the circle into two equal halves, each being a semicircle. So, the measure of arc $RT$ , which is a semicircle, is $180$ degrees.
Add Arc Measures: Since RT is a diameter and RS + ST make up the whole semicircle, add the measures of arc RS and arc ST to find the measure of arc RT. $\newline$ Let's say arc RS = $x$ degrees and arc ST = $y$ degrees. Then, $x + y = 180$ degrees.
Insufficient Information: Realize that we don't have enough information to find the exact measures of arc $RS$ and arc $ST$ . We need more information, like the measure of an angle or another arc, to solve for $x$ and $y$ .

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