If the diameter of a circle is 5 centimeters, how long is the arc subtended by an angle measuring 60° ?

2 answers:

s2008m [1.1K]3 years ago

8 0

circumference = 5 * PI = 15.7079632679 
arc length = circumference • [central angle (degrees) ÷ 360]
arc length = 15.7079632679 * 60 /360
arc length = 2.617993878

lilavasa [31]3 years ago

5 0

Answer:

The length of the arc would be 0.02618 m

Step-by-step explanation:

Given that;

diameter d = 5 cm = 5 cm ÷ 100 cm/m = 0.05 m

the radius r = 0.05 m ÷ 2 = 0.025 m

Angle subtended by the arc θ = 60°

The length of an arc subtended by an angle can be obtained using the expression;

S = r θ ...........1

where S is the length of the arc in meters

r is the radius of the arc

θ is the angle in radians

Converting of 60° to radians

1° = π/180 rads

60° = 60° × π/180 rad / degree = π/3 rads

putting the value into equation 1 we have

S = 0.025 m x π/3 rads

S = 0.02618 m

Therefore the length of the arc would be 0.02618 m

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The town of new London uses about 2,750,000 gallons of water each month. If the population of new London is approximately 61,000

Volgvan

45 gallons of water used per person each month

Solution:

Given that,

The town of new London uses about 2,750,000 gallons of water each month

The population of new London is approximately 61,000

To find: Number of gallons of water used per person each month

From given,

Total gallons of water each month = 2750000

Population = 61000

Therefore,

$Gallons\ of\ water\ per\ person = \frac{\text{Total gallons of water each month}}{population}$

$Gallons\ of\ water\ per\ person = \frac{2750000}{61000}\\\\Gallons\ of\ water\ per\ person = \frac{2750}{61}\\\\Gallons\ of\ water\ per\ person =45.08 \approx 45$