You take a bite out of asquare cracker. The shape of thebite is a quarter circle.a. Find the perimeter and areaof the cracker remaining.b. About how many bites canyou get from the entire cracker?
Accepted Solution
A:
To solve this problem you must follow the proccedure below:
a. Find the perimeter and area of the cracker remaining:
The perimeter of a quarter circle is:
P=(πr/2)+2r P=(πx3 cm/2)+2(3 cm) P=10.71 cm
The perimeter of the cracker remaining is:
Pt=3 cm+6 cm+3 cm+10.71 cm Pt=22.71 cm
The area of a quarter circle is:
A=πr²/4 A=π(3 cm)²/4 A=7.06 cm²
The area ofof the cracker remaining is:
At=Area of a square-Area of quarter circle At=L²-(πr²/4) At=(6 cm)²-(π(3 cm)²/4) At=28.93 cm²
b. About how many bites can you get from the entire cracker?