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Area and perimeterGeometryMiddle schoolabout 0:44

Find the area of a 60° sector with radius 6: animated lesson

A narrated, step-by-step area and perimeter video lesson with captions. Final answer: Area = 6π ≈ 18.84955592 square units.

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Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.3 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Worked example
Find the area of a 60° sector with radius 6.
2. Step by step
1. $\frac{60}{360} = \frac{1}{6}$
  Fraction of the full circle
2. $A = \frac{1}{6} \pi \cdot 6^2 = 6\pi \approx 18.84955592$
  Multiply by the circle's area
3. The answer
$A = 6\pi \approx 18.84955592$
A = 6π ≈ 18.84955592
4. Check
- The area 18.84955592 is positive and in square units.

Transcript

The problem. Here is the problem: Find the area of a 60° sector with radius 6. Compute the area from the shape prime s dimensions, all in the same length unit; the area is in that unit squared.

Step by step. Fraction of the full circle. Multiply by the circle prime s area.

The answer. So the answer is Area equals 6pi approximately 18.84955592 square units. Area measures how many unit squares fit inside a flat shape, so it is always in squared units such as cm squared or m squared.

Check. The area 18.84955592 is positive and in square units.

About area and perimeter

Find the area and perimeter of rectangles, triangles, sectors and other plane shapes.

Find the area of a 60° sector with radius 6: Animated Lesson