Is the answer i chose correct? me : )

Arc length = 8π

Step-by-step explanation:

As we know that -

θ = arc length  / radius (r) (i)

As given in the question -

θ = 90°, arc length = 2π,

Put values in equation (i)-

90° = 2 π / r

r = 2 π / 90°

r = 2 × 180°/ 90°

r = 4

Now Circumference of circle = 2 π r

                                                = 2π × 4

                                               = 8π

Hence arc length of circle is 8π.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).