What is the approximate length of minor arc LM? Round to the nearest tenth of a centimeter.
12.4 centimeters
15.7 centimeters
31.4 centimeters
36.7 centimeters

Length of the arc LM = 15.7 cm

Step-by-step explanation:

To determine the length of the arc LM we have to find the circumference of the the big circle then divide by the ratio of the angle or go straight to use the radians as the angle and look for the length.

Radius= 30cm

π= 3.142

Value of the angle is in radians

360° = 2π

π = 180

π/6 = 180/6

π/6= 30

Value of the angle is 30°

Length of the arc = 2πr * 30/360

Length of the arc = 2πr/12

Length of the arc = πr/6

Length of the arc = 30π/6

Length of the arc =5π

Length of the arc = 5*3.142

Length of the arc = 15.71

Approximately Length of the arc

= 15.7cm

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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