Circle d has a radius of 21 millimeters and central angle, ∠edf, which measures 60°. find the exact length of . mm 7mm 14mm 42mm

The length of the arc is 7πmm

Step-by-step explanation:

The radius of circle= 21 mm

We know that the formula for finding the circumference of the circle is:

C = 2πr

Put the value of r = 21 in the formula:

C = 2π(21)

C = 42πmm

We know that the circumference of the complete circle is 360°.

360° subtends the complete circle of length equal to 42πmm

Now by doing a proportion we find the length of arc with a central angle of 60°

42πmm/360° = x mm/60°

Perform cross multiplication:

x = 42π* 60/360

x= 7πmm

Thus the length of the arc is 7πmm

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

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