Question

Circle C has diameter AE with a length of 2 cm,

Answer 1

We have been given that Circle C has diameter AE with a length of 2 cm, and a central angle with the measure $40^{\circ}$. We are asked to find the length of arc DE.

We will use arc length formula to solve our given problem.

$l=\frac{\theta}{180}\times \pi r$, where,

$l$ = Arc length,

$\theta$ = Central angle in degrees.

r = radius of circle.

Since AE is diameter, so radius will be half of AE.

$r=\frac{2\text{ cm}}{2}=1\text{ cm}$

$l=\frac{40}{180}\times 3.14 \times (1\text{ cm})$

$l=\frac{2}{9}\times 3.14 \times (1\text{ cm})$

$l=0.697777\text{ cm}$

Upon rounding to nearest tenth, we will get:

$l\approx 0.7\text{ cm}$

Therefore, the length of arc DE is approximately 0.7 cm.