Question

PLEASE HELP, TIME SENSITIVE

A rectangular paperboard measuring 35in long and 26in wide has a semicircle cut out of it, as shown below.



Find the area of the paperboard that remains. Use the value 3.14 for π(pi), and do not round your answer. Be sure to include the correct unit in your answer

Answer 1

644.67 in^2 remaining

Explanation:

So first find the area of this rectangle

rectangle area formula= A=LW

35*26=910

Now we have to find the semi circle value

so we know the diameter is 26 becuase the 2 sides (26 in) are equal and if you fill in the circle the diameter is still 26

A circle formula is

A= π*radius^2

So to find radius divide the diameter by 2

26/2=13

now 13^2=169

Now 169 *3.14 since asked that pi is 3.14

169*3.14=530.66

But Thats the whole circle

The circle that seems to be cut off is half of the original Circle so we half the original circle

530.66/2=265.33

Now we subtract that from the original

910-265.33=644.67

So

644.67 In^2