Back to Topic 3.4 — Radians, arcs & sectors
3.4.1Math AA SL SL9 flashcards

Radian measure

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Card 1 of 93.4.1
3.4.1
Question

What is one radian?

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All 9 Flashcards — Radian measure

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Card 1concept

Question

What is one radian?

Answer

The angle at the centre of a circle whose arc length equals the radius.

Card 2concept

Question

How many radians in a full circle?

Answer

2π (and π in a half circle, 180°).

Card 3formula

Question

Convert degrees to radians?

Answer

Multiply by π/180.

Card 4formula

Question

Convert radians to degrees?

Answer

Multiply by 180/π.

Card 5formula

Question

Radian values of 30°, 45°, 60°, 90°?

Answer

π/6, π/4, π/3, π/2.

Card 6concept

Question

60° in radians?

Answer

60 × π/180 = π/3.

Card 7concept

Question

3π/4 radians in degrees?

Answer

3π/4 × 180/π = 135°.

Card 8concept

Question

Why must the GDC mode match?

Answer

sin/cos of a radian angle need radian mode; a mode mismatch gives wrong values.

Card 9concept

Question

Which mode does calculus with sin/cos use?

Answer

Radians.

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IB Math AA SL Radian measure Flashcards | 3.4.1 | Aimnova | Aimnova