Please answer this correctly

A ≈ 3.25 in squared

Step-by-step explanation:

So we can work backward using the perimeter of a circle formula to find the radius.

Perimeter of a whole circle: C = 2* 3.14 * r

Since we are only given a quarter of the perimeter we need to multiply the 3.57 by 4 to find C.

C = 14.28

Now we can solve for r using algebra.

Multiply 2 and 3.14

Isolate r through division.

Now that we have the radius of the circle we can plug that into the area of a circle.

Formula:

Plug in and solve.

A = 16.2355 in squared

This however is the area of the whole circle it is just looking for a quarter.

So we can divide the area of the whole circle by 4 to find the final answer.

16.2355 / 4 = 3.2471

Now round to the nearest hundreds which is the second number after the decimal.

A ≈ 3.25

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.