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$The circle has center O, and the measure of angle POQ is 135^(@). The length of minor arc PQ^(⏜) is what fraction of the circumference of the circle? (The number of degrees of arc in a circle is 360 .) Choose 1 answer: (A) (3)/(8) (B) (3)/(5) (c) (2)/(3) (D) (3)/(4)$

The circle has center $O$ , and the measure of angle $P O Q$ is $135^{\circ}$ . The length of minor arc \overparen{P Q} is what fraction of the circumference of the circle? $\newline$ (The number of degrees of arc in a circle is $360$ .) $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{3}{8}$ $\newline$ (B) $\frac{3}{5}$ $\newline$ (c) $\frac{2}{3}$ $\newline$ (D) $\frac{3}{4}$

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Relative maxima or minima

Full solution

Q. The circle has center

O

, and the measure of angle

P O Q

is

135^{\circ}

. The length of minor arc \overparen{P Q} is what fraction of the circumference of the circle?

\newline

(The number of degrees of arc in a circle is

360

.)

\newline

Choose

1

answer:

\newline

(A)

\frac{3}{8}

\newline

(B)

\frac{3}{5}

\newline

(c)

\frac{2}{3}

\newline

(D)

\frac{3}{4}

Find Fraction: Find the fraction of the circle represented by the angle $135^ ext{°}$ . Fraction = $\frac{135^ ext{°}}{360^ ext{°}}$
Simplify Fraction: Simplify the fraction. Fraction = $\frac{135}{360} = \frac{3}{8}$
Verify Fraction: Verify the fraction. $\frac{3}{8}$ is correct because $135^\circ$ is $\frac{3}{8}$ of $360^\circ$ .

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