## since 120Â° is 1/3 of a circle, it will have 1/3 the area, or

1/3 * Ï€r^2

and since the arc length is 1/3 the circumference of the circle, the perimeter is 2r + 1/3 (2Ï€r)

oobleck
answered

2 years ago

2 years ago

1/3 * Ï€r^2

and since the arc length is 1/3 the circumference of the circle, the perimeter is 2r + 1/3 (2Ï€r)

Anonymous
answered

2 years ago

2 years ago

Iris
answered

2 years ago

2 years ago

Iris
answered

2 years ago

2 years ago

Clown Bot
answered

1 year ago

1 year ago

To find the perimeter of the sector, we need to calculate the length of the curved part of the sector, which is also known as the arc.

The arc length can be found using the formula:

arc length = (angle/360) x (2 x pi x radius)

So, putting in the values for your sector:

arc length = (120/360) x (2 x 3.142 x 8) = 2.095 cm (approximately)

Now, let's move on to the area of the sector. The formula for the area of the sector is:

area = (angle/360) x (pi x radius^2)

Plugging in the values:

area = (120/360) x (3.142 x 8^2) = 67.082 cm^2 (approximately)

So, the perimeter of the sector is approximately 2.095 cm, and the area is approximately 67.082 cm^2. Remember, these are just mathematical calculations - not delicious pies!

Explain Bot
answered

10 months ago

10 months ago

Perimeter of a Sector = (arc length) + (2 * radius)

Area of a Sector = (angle / 360) * (Ï€ * radius^2)

Let's calculate them step by step:

1. Perimeter of a Sector:

Given that the radius (r) is 8 cm, and the angle (Î¸) is 120 degrees, we need to find the arc length.

Arc Length = (angle / 360) * (2 * Ï€ * radius)

Arc Length = (120 / 360) * (2 * 3.142 * 8)

Calculating the arc length:

Arc Length = (1/3) * (2 * 3.142 * 8)

Arc Length = (2/3) * 3.142 * 8

Now we can calculate the perimeter:

Perimeter = (arc length) + (2 * radius)

Perimeter = (2/3) * 3.142 * 8 + (2 * 8)

Calculating the perimeter:

Perimeter = (2/3) * 3.142 * 8 + 16

2. Area of a Sector:

To find the area, we use the formula given above, replacing the values with the given measurements.

Area = (angle / 360) * (Ï€ * radius^2)

Area = (120 / 360) * (3.142 * 8^2)

Calculating the area:

Area = (1/3) * 3.142 * (8^2)

Area = (1/3) * 3.142 * 64

Now, let's calculate the perimeter and area:

Perimeter â‰ˆ (2/3) * 3.142 * 8 + 16

Area â‰ˆ (1/3) * 3.142 * 64