Question

What is the measure in degrees of the angle A = 21π/5? *
2 points
a) 756°
b) 710°
c) 36°
d) 420°

Answer 1

Given:

The measure of the angle A = 21π/5

To find:

The measure of the given angle in Degrees.

Solution:

1) To change any of the radian angles in the degree we just multiply the given angle with 180°/π.

2) In the question the measurement of the angle is given as:

• 21π/5

• 21π/5 × 180/π

• 756°

So the correct option is (A) 756°

The measure of the given angle in Degrees is 756°

Answer 2

Given:

The measure of an angle, A = $\frac{21\pi}{5}$

To find:

The measure of the angle in degrees

Solution:

Here the measure of the angle A is given in terms of radians as $\frac{21\pi}{5}$ radians.

We know that,

$\boxed{\boxed{\bold{\pi\:radians = 180\: degrees }}}$

So, to find the measure of the angle in terms of degrees we will substitute the value of $\pi\: as\: 180\: degrees$.

∴ The measure of given angle "A",

= $\frac{21\pi}{5}$

= $\frac{21 \:\times\: 180 }{5}$

= $\frac{3780}{5}$

= 756° ← option (a)

Thus, the measure of angle A in terms of degrees is 756°.

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