Question

find the angle subtended at the centre of the circle of diameter 50cm by an arc of 11cm

Answer 1

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your solution: ♂
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Answer 2

Answer:

The angle subtended at the centre of the circle of diameter 50 cm by an arc of 11 cm is 25 degree

Step-by-step explanation:

Given the diameter 50 cm and the length of arc is 11 cm

we have to find the angle subtended at the centre by an arc of 11 cm.

Diameter= 50 cm

As the radius of circle is half of diameter

$Radius=\frac{1}{2}\times D=\frac{1}{2}\times 50=25cm$

Now the length of arc is calculated by the formula

$L=r\theta$

where r is radius and $\theta$ is central angle

Substituting given values of radius and central angle

$11=25\times \theta$

$\theta=\frac{11}{25}=0.22 radians$

In terms of degree

$\frac{11}{25}\times \frac{180}{\pi}=\frac{11}{25}\times \frac{180}{3.14}=25.21 degree$

Hence, the angle subtended at the centre of the circle of diameter 50 cm by an arc of 11 cm is 25 degree