Question

Which of these is equivalent to 210°?

A) 7π/6 rad
B) 6π/7 rad
C) 7π/3 rad
D) 3π/7 rad

Answer 1

Answer:

7π/6

Step-by-step explanation:

The way to convert radian to degree is to convert π to 180 degrees. We know that π radian is equal to 180 degrees and therefore.

A) 7(180)/6 = 7(30) = 210 degrees

B) 6(180)/7 = 1080/7 = approx 154.2 degrees

C) 7(180)/3 = 7(60) = 420 degrees

D) 3(180)/7 = 540/7 = approx 77.1 degrees

When we convert π rad to 180 degrees and evaluate, we will get the rad value in degree form.

Therefore, 7π/6 = 210 degrees. Hence, A is the answer.

Answer 2

Answer:

$\large\underline{\underline{\maltese{\pink{\pmb{\sf{\: A)\frac{ 7\:\pi}{6}}}}}}}$

Step-by-step explanation:

We know that, π radian = 180°. So, at first, let's substitute the value of π as 180° in the given options.

• 7π/6 rad = 7 × 180 / 6 = 210°
• 6π/7 rad = 6 × 180 / 6 = 180°
• 7π/3 rad = 7 × 180 / 3 = 420°
• 3π/7 rad = 3 × 180 / 7 = 77.14°

We can see that, 7π/6 when converted to its degree form gives 2210° as the answer.

•°• A) 7π/6 is the correct answer.

______

Hope it helps!

Check out more helpful links here:

■ https://brainly.com/question/14873264

■ https://brainly.com/question/15433245

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