Question

the radius of a circle is 7 CM. find the circular measure of the angle at the centre subtended by the arc 2.2 cm​

Answer 1

Answer:

$θ≈ 18⁰$

Step-by-step explanation:

Angle subtended(in radian) by an arc of length x at the center of a circle with radius r is given by

$θ= \frac{x}{r} ------(1)$

GIVEN

• Radius, r = 7 cm
• Arc Length, x = 2.2 cm

CALCULATION

Substituting these values in (1), we get

$θ= \frac{2.2}{7} ------(1)$

$θ= \frac{22}{7} \times\frac{1}{10}$

We know that $π≈\frac{22}{7}$, so

$θ≈ \frac{π}{10}\:\: radian$

$θ≈ \frac{π}{10}\times\frac{180}{π}\:\: degree$

$θ≈ 18⁰$