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Natali [406]
3 years ago
14

Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given that r

= 3.0 cm and Θ = π4
Mathematics
2 answers:
Semenov [28]3 years ago
6 0

Answer:

The arc length of a circle is, 2.355 cm

Step-by-step explanation:

Use the fact  that the length of an arc intercepted by an angle is proportional to the radius.

Let l be the length of an arc and r be the radius of the circle.

then;

l \propto r

then;

l = r \theta           .....[1]

It is also given: r = 3 cm and \theta = \frac{\pi}{4}

Substitute the given values in [1] we have;

Use \pi = 3.14

l = 3 \cdot \frac{\pi}{4}= 3 \cdot \frac{3.14}{4} = 2.355 cm

Therefore, the arc length of a circle is, 2.355 cm

Komok [63]3 years ago
5 0

Answer:

The required length is 37.68 cm

Step-by-step explanation:

We have given the radius of  which is 3 cm and  \thetawhich is \pi\cdot 4

We will use \pi=3.14

We know the formula for length of arc which is:

length of arc=radius x angle

We will substitute the values given we will get:

length=3(3.14)(4)

length=37.68

Hence, the required length is 37.68 cm

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