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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