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uranmaximum [27]
3 years ago
13

What is the length of the arc on a circle with radius 21 in intercepted by a 25° angle? Round your answer to the nearest tenth.

Mathematics
2 answers:
Lana71 [14]3 years ago
8 0

Answer:

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ is the central angle formed at the center of the circle.

r represents the radius of the circle.

π represents a constant whose value is 3.14

From the information given,

r = 21 inches

θ = 25 degrees

Length of arc formed = 25/360 × 2 × 3.14 × 21 = 9.2 inches,

ladessa [460]3 years ago
8 0

Answer: The length of the arc = 9.16

Step-by-step explanation: Formula for the length of an arc is,

=2πr∅°/360° or

   πr∅°/180°.

Where r = radius of the circle, ∅ is the angle substended by the arc of the centre.

Substitute for values in the formula above

      πr∅°/180                                                = 3.142 × 21 × 25/180

                                                                     = 1649 . 55/180

                                                                     = 9.164

                                                                     =9.16

Therefore, the length of the arc                 = 9.16

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jekas [21]

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8 0
3 years ago
A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.
creativ13 [48]

Answer:

About 20%

Step-by-step explanation:

The probability of a point on the un-shaded region will be given by;

Area of the shaded region/total area

Considering that the circles are of the same size, then the length of the square is 2d

Area of the square = 4d²

Area of the shaded = (4d² -4π(d/2)²

                                = 4d² -πd², but π = 22/7

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Probability = (6/7d² ÷ 4d²) × 100%

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Therefore; the answer is about 20%

3 0
3 years ago
Which logaritnmic equation equivalent to the exponential equation below 5c=125
nataly862011 [7]
I assume you meant to write 5^c = 125. The equivalent logarithmic expression for this would be ㏒₅125=c.
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3 years ago
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7 0
3 years ago
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Given a cylinder with a radius of 5cm and a height of 8 cm, find the volume of the cylinder. Use 3.14 for T.
Radda [10]

Answer: V=628cm³

Step-by-step explanation:

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Hope this helps! Have a great night!

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3 years ago
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