Question

express the
following
degree measures into radian
measures
a) 315°
b) 5° ​

Answer 1

Answer:

mark me branilist plese

Step-by-step explanation:

315

Answer 2

To express the following in radian

(a) 315°

[We know that 360° = 2π radian. or 180° = π radian.]

Now,

$\implies 180^{o} = \frac{22}{7}$ radian

$\implies 180^{o} = 3.142$ radian

$\implies \frac{180}{180}=\frac{3.142}{180}$

$\implies 1 = 0.01745$

Therefore

1° = 1.745 × 10² radian.

Now,

315° = 315 × (1.745 × 10²) radian

315° = 5.496 radian

∴ 315° ≈ 5.5 radian

-

(b) 5°

As 1° = 1.745 × 10² radian

So,

5° = 5 × (1.745 × 10²) radian

5° = 8.725 × 10² radian

Hence,

• 315° = 5.5 radian
• 5° = 8.725 radian