schoolbrain88 schoolbrain88
  • 15-05-2023
  • Mathematics
contestada

if a circle has a radius of 10 cm and the measure of arc AB is 45 degrees, find the length of the arc AB

Respuesta :

ujalakhan18
ujalakhan18 ujalakhan18
  • 15-05-2023

Answer:

[tex]\huge\boxed{\sf S= 7.85 \ cm}[/tex]

Step-by-step explanation:

Given:

arc AB = θ = 45 degrees

Radius = r = 10 cm

π = 3.14

Required:

Length = S = ?

Formula:

[tex]\displaystyle S= \frac{\theta}{360} \times 2 \pi r[/tex]

Solution:

Put the given data in the formula.

Finding arc length.

[tex]\displaystyle S = \frac{45}{360} \times 2(3.14)(10)\\\\S = 0.125 \times 62.8\\\\S= 7.85 \ cm\\\\\rule[225]{225}{2}[/tex]

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