To find the angle in radians, we need to convert the given angle from degrees to radians. We know that 180 degrees = π radians.
So,
34 degrees = (34/180) * π radians
= 0.1885 * 3.14
= 0.591 radians
Therefore, the answer is (C) 0.59 radians.
The area of the sector (the slice you eat) can be calculated using the formula:
Area = (n/360) * πr^2
where n is the central angle in degrees, and r is the radius of the slice.
Plugging in the given values, we get:
Area = (34/360) * 3.14 * 8^2
= 0.1 * 3.14 * 64
= 20.096 square inches
Rounding to the nearest tenth, the answer is 20.1 square inches.
The arc length of the pizza you have eaten can be calculated using the formula:
Arc Length = (2πr * Ø)/360
where Ø is the angle in degrees, and r is the radius of the slice.
Plugging in the given values, we get:
Arc Length = (2 * 3.14 * 8 * 34)/360
= 4.776 inches
Therefore, the answer is 4.776 inches.