The length of DE (the minor arc) is 52 cm. What is the circumference of OF?
ОА. 104 cm
В. 208 cm
326.56 cm
оооооо
D. 312 cm
E. 26 cm
F. 336 cm

Respuesta :

Answer:

D, 312 CM.

Step-by-step explanation:

DE/C = 60/360 = 1/6

Cross-multiplying

C = 6DE = 6 x 52 = 312 CM

The circumference is 312 cm , Option D is the correct answer.

What is a major arc and what is a minor arc ?

A major arc has the measure more than 180 degree as it covers more than half the circle , while minor arc has the measure less than 180 degree , a semicircle divides the circle in exact half.

Arc length =  r . [tex]\rm \theta\\[/tex]  

[tex]\rm Arc \; Length= r \times\dfrac{\pi \times \theta}{180}[/tex]

The angle subtended by the arc at the center is 60 degree.

Arc length = 52 cm

Substituting the value

52 = π . r . 60/180

52 * 3 = π . r

156 = π . r

Circumference = 2 π . r

Circumference = 2 * 156

Circumference = 312 cm

Therefore Option D is the correct answer.

To know more about Major and Minor Arc

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