Find the arc length of the semicircle.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Length of arc of semicircle is 12.56 units.

Given that;

Diameter of Semi-circle = 8 unit

Find:

Length of arc of semicircle

Computation:

Radius of Semi-circle = 8/2

Radius of Semi-circle = 4 unit

Length of arc of semicircle = πr

Length of arc of semicircle = (3.14)(4)

Length of arc of semicircle = 12.56 units

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To find the arc length of the semi circle we can find the circumference of the full circle and divide by 2.

The radius of the circle is 8 / 2 = 4

Circumference Formula: 2πr

= 2π(4)

= 8π or 25.12

Now, divide by 2 to find the arc length of the semi circle.

25.12 / 2 = 12.56

Finally, divide by 3.14 to find the arc length in terms of pi.

12.56 / 3.14 = 4π

Therefore, the arc length of the semi circle is 4π

Best of Luck!

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)