A chord of a circle of radius 5cm subtains an angle of 70°at the centre.calculate the length of an arc

Question

asked Aug 7, 2021 213k views

1 Answer

Aweb · Answer 1 · 2021-08-12T11:20:01+0000

Answer:

$Length = 6.11\ cm$

Step-by-step explanation:

Given

$\theta = 70\°$

Radius, r = 5cm

Required

Determine the length of the subtended arc

Length of an arc is calculated by;

$Length = (\theta)/(360) * 2\pi r$

Substitute
$\theta = 70\°$ and
r = 5cm

$Length = (70)/(360) * 2\pi *5$

$Length = (70* 2\pi *5)/(360)$

$Length = (700 \pi)/(360)$

Take π as 22/7

Length = (700)/(360) * (22)/(7)

Length = (700 * 22)/(360 * 7)

Length = (15400)/(2520)

$Length = 6.11\ cm$

Hence, the length of the arc is approximately 6.11 cm