<u>7.1 cm long is the arc</u><u> intersected by a central angle .</u>
What is length of an arc?
- The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
- Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.
Given,
Central angle = π / 2
radius = 4.5 cm
we apply formula of length of arc.
length of the arc = angle × radius
= (π/2) × (4.5 cm)
Now put value of π = 3.14
length of the arc = (3.14 / 2) × (4.5) cm
= 7.065 cm ≈ 7.1 cm
Therefore, 7.1 cm long is the arc intersected by a central angle .
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No triangle formed
Solution:
Given data:
One angle is 45°
Another angle is 108°
One side is 7 cm
To find how many triangles are formed for the given data.
Let the unknown side of a triangle be x°.
Sum of all the sides of a triangle = 180°
45° + 108° + x° = 180°
⇒ x° = 180° – 45° – 108°
⇒ x° = 27°
There is no such angle can be formed with 27° in the given image.
Hence there is no triangle can be formed.
The answer is (it can be curved) because it's doesn't have to cross the origin and it's a U shape so it can't look like a straight line and it doesn't have a constant rate of change. :)
Answer:
Step-by-step explanation:
