Question

Plz answer quickly 50 points

Answer 1

`\Huge \boxed{\mathrm{44.51 \ centimeters}}`

`\rule[225]{225}{2}`

Explanation:

Length of an arc formula:

`\displaystyle (\theta )/(360) \cdot \pi d`

The angle formed at the centre is 150 degrees.

The diameter of the circle is 34 centimeters.

`\Longrightarrow \displaystyle (150)/(360) \cdot \pi (34)`

`\Longrightarrow \displaystyle (85)/(6) \pi`

`\Longrightarrow 44.505896...`

The length of arc AB is 44.51 centimeters approximately.

`\rule[225]{225}{2}`

Answer 2

arc AB = 44.5

Explanation:

arc length AB = (Ф /360) * 2πr

Ф = 150°

r = 34/2 = 17 cm

plug in values

arc AB = (150/360) * 2 * π * 17

arc AB = 44.5