Question

the radius of a circle is 5.5cm. what is the measure of the arc of this circle whose length is 6.05?​

Answer 1

Measure of the arc is 63 °

Step-by-step explanation:

Given,

Radius of circle = 5.5 cm

Length of circle = 6.05 cm

We know that,

$L = \frac{\theta}{360}\times 2\times \pi\times R$

$6.05 = \frac{\theta}{360}\times 2\times\frac{22}{7}\times 5.5$$\frac{605}{100} = \frac{\theta}{360}\times\frac{22}{7}\times 11$

$\theta = \frac{605\times 360\times 7}{100 \times 22\times 11}$

$\theta$ = 63°

Measure of the arc is 63 °

Answer 2

The value of $\theta=63^{\circ}$

Step-by-step explanation:

Radius of circle = 5.5 cm

Length of arc = 6.05

Formula of length of arc=  $2 \pi r \frac{\theta}{360}$

Substitute the given values :

So, $6.05 = 2 \times \frac{22}{7} \times 5.5 \times \frac{\theta}{360}$

$\frac{6.05 \times 360 \times 7}{22 \times 2 \times 5.5}= \theta$

$63^{\circ}=\theta$

Hence The value of $\theta=63^{\circ}$

#Learn more:

The length of an arc of a circle with radius 12cm and 22cm. Find the central angle of this arc

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