The length of the arc of semi circle is 15 cm calculate the area of the semi circle ?

The area of the semi-circle is 35.8 cm².

Step-by-step explanation:

The length of the arc is given by:

  (1)

Where:

s: is the length of the arc of semi-circle = 15 cm

r: is the radius

θ: is the angle in radians    

Since we need to calculate the area of the semi-circle, the angle is:

From equation (1) we can find the radius:

Now, the area of the semi-circle is:              

Therefore, the area of the semi-circle is 35.8 cm².

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