Trigonometric Functions

Convert angle in radian to degree-

$\frac{\mathrm{\pi }}{3}$

Convert angle in radian to degree-

$\frac{5\mathrm{\pi }}{6}$

Convert angle in radian to degree-

$-\frac{5\mathrm{\pi }}{4}$

Convert angle in radian to degree-

$-\frac{2\mathrm{\pi }}{3}$

Convert angle in radian to degree-

$\frac{\mathrm{\pi }}{2}$

Convert angle in radian to degree-

$4\mathrm{\pi }$

Convert angle in radian to degree-

$\frac{\mathrm{\pi }}{12}$

Convert angle in radian to degree-

$\frac{5\mathrm{\pi }}{12}$

Convert angle in radian to degree-

$-\frac{\mathrm{\pi }}{2}$

Convert angle in radian to degree-

$-\mathrm{\pi }$

Convert angle in radian to degree-

$-\frac{\mathrm{\pi }}{6}$

Convert angle in radian to degree-

$-\frac{3\mathrm{\pi }}{4}$

Convert each angle in degrees to radians. Express your answer in decimal form, round to two decimal places.

$17°$

Convert each angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places.

$73°$

Convert each angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places.

$-40°$

Convert each angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places.

$-51°$

Convert each angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places.

$125°$

Convert each angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places.

$350°$

Convert the angle in radians to degrees . Express your answer in decimal form, rounded to two decimal places-

 $3.14$

Convert the angle in radians to degrees . Express your answer in decimal form, rounded to two decimal places-

0.75

Convert the angle in radians to degrees . Express your answer in decimal form, rounded to two decimal places-

$2$

Convert the angle in radians to degrees . Express your answer in decimal form, rounded to two decimal places-

$3$

Convert the angle in radians to degrees . Express your answer in decimal form, rounded to two decimal places-

$6.32$

Convert the angle in radians to degrees . Express your answer in decimal form, rounded to two decimal places-

$\sqrt{2}$

In the problem,$s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle $\theta$. Find the missing quantity. Round answers to three decimal places.

$r=10$meters,    $\theta =\frac{1}{2}$radian,    $s=?$

In the problem, $s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle $\theta$. Find the missing quantity. Round answers to three decimal places.

$r=6$ feet,      $\theta =2$ radians,      $s=?$

In the problem, $s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle $\theta$. Find the missing quantity. Round answers to three decimal places. 

$\theta =\frac{1}{3}$ radian,       $s=2$ feet ,      $r=?$

In the problem, $s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle $\theta$. Find the missing quantity. Round answers to three decimal places.

$\theta =\frac{1}{4}$radian,        $s=6$ centimeters,        $r=?$

In the problem, $s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle $\theta$. Find the missing quantity. Round answers to three decimal places.

$r=5$ miles,        $s=3$ miles,           $\theta =?$

In the problem, $s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle _$\theta$ Find the missing quantity. Round answers to three decimal places. 

$r=6$ meters,         $s=8$ meters,        $\theta =?$

In the problem, $s$denotes the length of the arc of a circle of radius  $r$ subtended by the central angle $\theta$. Find the missing quantity. Round answers to three decimal places.

$r=2$ inches,         $\theta =30°$,          $s=?$

In the problem, $s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle $\theta$ . Find the missing quantity. Round answers to three decimal places.

$r=3$ meters,       $\theta =120°$,        $s=?$

In the problem, $A$ denotes the area of the sector of a circle of radius $r$ formed by the central angle $\theta$. Find the missing quantity. Round answers to three decimal places 

In the problem, $A$ denotes the area of the sector of a circle of radius $r$ formed by the central angle $\theta$. Find the missing quantity. Round answers to three decimal places 

In the problem, $A$ denotes the area of the sector of a circle of radius $r$ formed by the central angle $\theta$.Find the missing quantity. Round answers to three decimal places.

In the problem, $A$denotes the area of the sector of a circle of radius $r$ formed by the central angle $\theta$. Find the missing quantity. Round answers to three decimal places.

In the problem, $A$ denotes the area of the sector of a circle of radius $r$ formed by the central angle $\theta$.Find the missing quantity. Round answers to three decimal places.

In the problem, $A$ denotes the area of the sector of a circle of radius $r$ formed by the central angle $\theta$. Find the missing quantity. Round answers to three decimal places .

In the problem, $A$denotes the area of the sector of a circle of radius $r$ formed by the central angle $\theta$. Find the missing quantity. Round answers to three decimal places .

In the problem, $A$ denotes the area of the sector of a circle of radius $r$ formed by the central angle $\theta$.Find the missing quantity. Round answers to three decimal places .

Find the length $s$ and area $A$. Round answers to three decimal places.

Find the length $s$ and area $A$. Round answers to three decimal places.

Find the length $s$ and area $A$. Round answers to three decimal places.

Find the length $s$ and area $A$. Round answers to three decimal places.

The minute hand of a clock is $6$ inches long. How far does the tip of the minute hand move in $15$ minutes? How far does it move in $25$ minutes? Round answers to two decimal places. 

A pendulum swings through an angle of ${20}^{\circ }$ each second. If the pendulum is $40$ inches long, how far does its tip move each second? Round answers to two decimal places. 

Find the area of the sector of a circle of radius $4$ meters formed by an angle of ${45}^{°}$. Round the answer to two decimal places. 

Find the area of the sector of a circle of radius $3$centimeters formed by an angle of ${60}^{\circ }$. Round the answer to two decimal places. 

A water sprinkler sprays water over a distance of $30$feet while rotating through an angle of ${135}^{\circ }$

An engineer is asked to design a water sprinkler that will cover a field of $100$square yards that is in the shape of a sector of a circle of radius $15$ yards. Through what angle should the sprinkler rotate?