What is the arc length of a circle (in meters) with a radius of 2 meters that has an arc angle of 90°?

Mathematics

1 answer:

DIA [1.3K]3 years ago

8 0

Answer:

The arc length of a circle is 3.14 m or 1π m

Step-by-step explanation:

First of all we have to calculate the circumference of the circle and then extract the portion that corresponds to 90°

To solve this exercise we need to use the circumference formula of a circle:

c = circumference

r = radius = 2m

π = 3.14

c = 2π * r

we replace the known values

c = 2 * 3.14 * 2m

c = 12.56m

As we know a circle is represented with 360 ° and they tell us that the angle is 90 °, so we have to know the relationship with respect to the total

90° / 360° = 1/4

Now we multiply this number by the circumference and we will obtain the length of the arc

12.56m * 1/4 = 3.14

The arc length of a circle is 3.14 m or 1π m

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3 years ago

Can someone help me out

vichka [17]

Answer: LAST OPTION.

Step-by-step explanation:

The Pythagorean Theorem states the following relationship between the three sides of a triangle that has an angle of 90 degrees, known as "Right triangle":

$a^2=b^2+c^2$

Where "a"is the hypotenuse and "b" and "c" are the legs of the right triangle.

If the triangle ABC is a right triangle then AB must be equal to $BC^2+AC^2$ , then, you need to substitute the values into $a^2=b^2+c^2$ to check this: