Mathematics: A circle is centered at the vertex of an angle, and the angle s rays subtend an arc that is 86 cm long. 1/360th of the circumference of the circle is 0.5 cm long. What is the measure of this angle in degrees?

A circle is centered at the vertex of an angle,

19cmulett

18.01.2022

A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 86 cm long. The measure of this angle in degrees is 172°

From the given information:

1/360th of the circumference of the circle is 0.5 cm long

The total circumference of the circle now will be:

= 360 × 0.5 cm

= 180 cm

However, if a total circumference of 180 cm is equivalent to an angle of 360°;

Then, an angle that subtends with 86 cm long will be:

$\mathbf{=\dfrac{86 \ cm }{180 \ cm } \times 360^0 }$

= 172°

Therefore, the measure of this angle is 172°

Learn more about the circumference of a circle here:

link

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shouyuanroh3685

18.01.2022

Therefore the measure of this angle is $=(\frac{43}{90} )^\circ$

Step-by-step explanation:

Given, a circle is centered at the vertex of an angle and the angle's rays subtend an arc that is 86 cm long.

0.5 cm arc make an angle $\frac{1}{360}$

1 cm arc make an angle $\frac{1}{360\times 0.5}$

86 cm arc make an angle $\frac{86}{360\times 0.5}$

$=(\frac{43}{90} )^\circ$

Therefore the measure of this angle is $=(\frac{43}{90} )^\circ$

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samueldfhung

18.03.2021

The Answer is B- SAS

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