Question

100 points !!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Explanation:

Radius = Diameter/2

Radius = 4/2

Radius = 2 cm

Now,

tan <ACB = AB/BC

tan <ACB = 2/6

tan <ACB = ⅓

<ACB = 18.43

Now,

Angle = 2 × <ACB

Angle = 2 × 18.43

Angle = 36.86⁰

Answer 2

• 36.86°

Explanation:

The angle measure we need is twice the angle ACB.

Find its measure considering AB = 4/2 = 2 in and BC = 6 in.

Use trigonometry:

• tan(∠ACB) = AB/BC = 2/6 = 1/3
• m∠ACB = artctan (1/3)
• m∠ACB = 18.43° (rounded)

The angle between the line segments is:

• 18.43° × 2 = 36.86°