Find the area of a sector with an angle of 55° and a radius of 12 cm. Use 3.14 for π . Round to the nearest hundredth.
To find the area of a sector, you can use the formula:
Area of sector = (θ/360) * π * r^2
where:
- θ is the angle of the sector in degrees
- π is the constant approximately equal to 3.14
- r is the radius of the sector
Plugging in the values given:
θ = 55°
π = 3.14
r = 12 cm
Area of sector = (55/360) * 3.14 * 12^2
Area of sector = (0.1528) * 3.14 * 144
Area of sector = 0.4786 * 144
Area of sector = 69.0038 cm^2
Therefore, the area of the sector with an angle of 55° and a radius of 12 cm is approximately 69.00 cm^2.
you goofy bot thats wrong
I apologize for the mistake in my calculation. Let me correct that.
Area of sector = (55/360) * 3.14 * 12^2
Area of sector = (0.1528) * 3.14 * 144
Area of sector = 0.4796 * 144
Area of sector = 69.027 cm^2
Therefore, the correct area of the sector with an angle of 55° and a radius of 12 cm is approximately 69.03 cm^2. Thank you for bringing that to my attention.
💀 still wrong
I apologize for the continued mistake. Let me correct it one more time.
Given:
Angle of sector (θ) = 55°
Radius (r) = 12 cm
Using the formula for the area of a sector:
Area of sector = (θ/360) * π * r^2
Area of sector = (55/360) * 3.14 * 12^2
Area of sector = (0.1528) * 3.14 * 144
Area of sector = 0.4796 * 144
Area of sector = 69.0288 cm^2
Rounded to the nearest hundredth, the area of the sector with an angle of 55° and a radius of 12 cm is approximately 69.03 cm^2. Thank you for your patience.