Question

What is the arc length of an arc with radius 10 in and central angle 60 degrees ? Show your work.

Answer 1

Answer:

$\huge \boxed{ \boxed{ \red{{s \approx \: 10.47}}}}$

Step-by-step explanation:

to understand this

you need to know about:

• geometry
• PEMDAS

tips and formulas:

• $s = \frac{\pi {r} \theta}{180}$

given:

• r=10
• $\theta = 60$

let's solve:

1. $\sf sustitute \: the \: value s \: of \: \theta \: and \: r : \\ =\frac{\pi \times 10 \times 60}{180}$
2. $\sf rediuce \: 60 : \\ =\frac{\pi \times 10 \times \cancel{60} \: ^{1} }{ \cancel{180} \: \:^{3} } \\ =\frac{\pi \times 10}{3}$
3. $\sf use \: 3.14 \: for \: \pi : \\ = \frac{3.14 \times 10}{3}$
4. $\sf simplify \: multipication : \\ = \frac{31.4}{3} \\ \approx \: 10.47$