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N76 [4]
3 years ago
14

The face of a clock is divided into 12 equal parts. The radius of the clock face is 6 inches. Assume the hands of the clock will

form a central angle. Which statements about the clock are accurate? Check all that apply.
Mathematics
2 answers:
irina [24]3 years ago
6 0
<h2>Answer:</h2><h2>Option (i),(iii), (v) are correct</h2>

Step-by-step explanation:

Given, the face of a clock is divided into 12 equal parts.

Angle of each part = \frac{360}{12} = 30°

(i) When one hand points at 2 and the other points at 4, this is can be divided into two parts, 2 to 3 and 3 to 4.

The angle formed = 2 (30) = 60°

Option (i) is correct

(ii) The circumference of the clock is ,

Circumference of circle = 2πr,

where r is the radius = 6 and π = 3.14.

Substituting the values in the formula, we get

Circumference of circle = 37.68.

Option (ii) is wrong.

(iii) With one hand at 5 and the other at 10, this is 5 parts

The angle formed= 30(5) = 150°.  

The arc length =\frac{150}{360}(37.68) = 15.7

Option (iii) is correct

(iv) When one hand points at 1 and the other points at 9, this is 4 parts,

30(4) = 120°.  T

Option (iv) is wrong

(v) The length of the minor arc from 11 to 2, this is 3 parts

3(30) = 90°  

minor arc from 7 to 10 is 3(30) = 90°  

Option (v) is correct

Akimi4 [234]3 years ago
3 0

Answer: options 1,3,5

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