Finding the length of arc and and sector area? Genuinely confused and will mark for brainliest.

Arc length =

Step-by-step explanation:

For the length of an arc of circumference, you need to recall the formula:

which is the product of the radius R times the angle, but only valid if the angle is given in radians (not degrees). So we need to change the 45 degree angle into radians. we can do so by remembering that radians is the same as 180°, and then the following proportion can be written to find what is the value (x) of 45° in radians:

Now we find the length of the arc using the formula given above:

Now for the area of the sector, recall the formula:

with the same condition for of being expressed in radians (and not degrees). So the formula becomes:

answer: download photomath it's legit.

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1