Question

the angle subtended by an arc of length 11 cm at the centre of a circle of a circle of radius 7cm is

Answer 1

Answer: The angle subtended at the centre is the angle subtended by an arc or a chord or a sector at the centre of a circle. ... In such cases, the central angle is 180° and the angle subtended at the circle is 90°. So logically, the angle subtended at the semicircle is right angle, that's 90°

A circle is 360° all the way around; therefore, if you divide an arc's degree measure by 360°, you find the fraction of the circle's circumference that the arc makes up. Then, if you multiply the length all the way around the circle (the circle's circumference) by that fraction, you get the length along the arc

Answer 2

Angle subtended by arc at the center will be $90.05^{\circ}$

Step-by-step explanation:

We have given length of arc segment = 11 cm

Radius of the circle r =7 cm

We have to find angle subtended by arc at the center

We know that length of arc is given by

$length\ of\ arc=radius\times angle$

$angle=\frac{length\ of\ arc}{radius}=\frac{11}{7}=1.571radian$

In degree $=\frac{1.571\times 180}{\pi }=90.05^{\circ}$

So angle subtended by arc on the center will be $90.05^{\circ}$

Learn more

n a circle of radius 10.5 cm, an arc subtends an angle of 60degree at the centre. Find the length of the arc

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