Topic 3.4Math AI SL SL8 flashcards

Circle arc length and area of sector (degrees)

Practice Flashcards

Flip cards to reveal answers

Card 1 of 83.4.1

3.4.1

Question

Arc length formula with theta in radians?

Click to reveal answer

Track your progress — Sign up free to save your progress and get smart review reminders based on spaced repetition.

All Flashcards in Topic 3.4

Below are all 8 flashcards for this topic. Sign up free to track your progress and get personalized review schedules.

3.4.14 cards

Card 1formula

Question

Arc length formula with theta in radians?

Answer

s = r theta

💡 Hint

Radians version is direct and fastest.

Card 2formula

Question

Arc length formula with theta in degrees?

Answer

s = (theta/360) * 2pi r

💡 Hint

Convert carefully from part of full circle.

Card 3concept

Question

Why radians are preferred in IB?

Answer

Many formulas become simpler and less error-prone.

💡 Hint

Especially for arc and sector formulae.

Card 4example

Question

Arc length contextual cue?

Answer

Distance traveled along circular path, not straight line.

💡 Hint

Arc is curved perimeter part.

3.4.24 cards

Card 5formula

Question

Sector area formula in radians?

Answer

A = (1/2) r^2 theta

💡 Hint

Theta must be in radians.

Card 6formula

Question

Sector area formula in degrees?

Answer

A = (theta/360) * pi r^2

💡 Hint

Same fraction idea as arc length.

Card 7formula

Question

Perimeter of sector formula?

Answer

P = 2r + arc length

💡 Hint

Add both radii and curved edge.

Card 8comparison

Question

IB trap for sector area tasks?

Answer

Using degrees formula with radians (or vice versa).

💡 Hint

Check angle mode before substituting.

Topic 3.4 study notes

Full notes & explanations for Circle arc length and area of sector (degrees)

Math AI SL exam skills

Paper structures, command terms & tips

Want smart review reminders?

Sign up free to track your progress. Our spaced repetition algorithm will tell you exactly which cards to review and when.

Start Free