Radians, Degrees, Arc Length & Sector Area

Front

Convert 510° to Radians

Back

17π / 6

Front

What is the formula for Arc Length?

Back

Arc Length = rθ, where r is the radius and θ is the angle in radians.

Front

What is the formula for the area of a sector?

Back

Area = (1/2)r²θ, where r is the radius and θ is the angle in radians.

Front

Convert 7π/6 radians into degrees

Back

210°

Front

What is 1 radian in degrees?

Back

1 radian = 180/π degrees.

Front

How do you convert degrees to radians?

Back

Multiply degrees by π/180.

Front

How do you convert radians to degrees?

Back

Multiply radians by 180/π.

Front

What is the relationship between degrees and radians?

Back

180° = π radians.

Front

If the radius of a circle is 5 cm, what is the arc length for an angle of 60°?

Back

Arc Length = (5 cm)(π/3) = 5π/3 cm.

Front

What is the area of a sector with a radius of 4 cm and an angle of 90°?

Back

Area = (1/2)(4 cm)²(π/2) = 8π cm².