Area of a Sector
Read this topicExplanations 3
- Imagine it's Thanksgiving and you're eating pie. Now, you're not eating the whole pie, right? You're only eating a piece of it. Now assume the cuts of the pie all go through the…
By Freya Edholm
- A sector of a circle is an area on the circle that is within two radii and the arc between them, like so: (Here, an arc is the area enclosed within the red lines and the arc the…
By Liza Sulkin
- Here's a great video reviewing the definition of a sector and showing how to find its area!
By Liza Sulkin
Problems 20
- A peacock feather typically has a light blue circle with a dark blue circle with a missing sector on top of it. Suppose the light blue circle has a diameter of 6 cm and the dark…
- A peacock feather typically has a light blue circle with a dark blue circle with a missing sector on top of it. Suppose the light blue circle has a diameter of 6 cm and the dark…
- A circle has radius 333. What is the area of a sector with angle 90∘90^\circ90∘?
- A circle has radius xπ\frac{x}{\pi}πx. What is the area of a sector with angle y∘y^\circy∘?
- A circle has diameter 141414. What is the area of a sector with angle 60∘60^\circ60∘?
- A circle has diameter 2x2x2x. What is the area of a sector with angle (2y)∘(2y)^\circ(2y)∘?
- A circle has circumference 2π2\pi2π. What is the area of a sector with angle 180∘180^\circ180∘?
- A circle has area 25π25\pi25π. What is the area of a sector with angle 72∘72^\circ72∘?
- A circle has area π3\pi^3π3. What is the area of a sector with angle 18∘18^\circ18∘?
- A circle has circumference 1π\frac{1}{\pi}π1. What is the area of a sector with angle z∘z^\circz∘?
- What angle does a sector need to have to have 62.5% of a circle's area?
- What angle does a sector need to have to have 25% of a circle's area?
- What angle does a sector need to have to have x of a circle's area, (where x is a decimal)?
- If a sector has an angle of 144∘144^\circ144∘, what percentage of the circle's area does it cover?
- If a sector has an angle of 315∘315^\circ315∘, what percentage of the circle's area does it cover?
- If a sector has an angle of x∘x^\circx∘, what percentage of the circle's area does it cover?
- If the radius of the umbrella above is 4x, what is the area of one of its sectors?
- Pac-Man is going through his daily routine: eating Pac-Dots, avoiding ghosts, and the like. To eat a Pac-Dot, Pac-Man needs to open his mouth super wide (about a quarter of his …
- If the radius of the top of the cheese wheel above is 3x3x3x, what is the area of the sector of cheese cut out from it? You can approximate the angle to 60∘60^\circ60∘.
- If an 8-slice pizza has an area of zzz, what is the area of three slices of pizza?