Arc Length and Area Sector

Front

What is the formula for arc length?

Back

Arc Length = (θ/360) * 2πr, where θ is the angle in degrees and r is the radius.

Front

How do you calculate the area of a sector?

Back

Area of Sector = (θ/360) * πr², where θ is the angle in degrees and r is the radius.

Front

What is the relationship between the radius and the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.

Front

If the radius of a circle is 7 cm, what is the circumference?

Back

Circumference = 2π(7) = 14π cm.

Front

What is the formula for finding the length of an arc in a circle?

Back

Arc Length = (θ/360) * Circumference.

Front

How do you find the angle in degrees if you know the arc length and radius?

Back

θ = (Arc Length / Circumference) * 360.

Front

What is the circumference of a circle with a diameter of 10 cm?

Back

Circumference = πd = π(10) = 10π cm.

Front

If the area of a sector is 50 cm² and the radius is 5 cm, what is the angle in degrees?

Back

θ = (Area of Sector / (πr²)) * 360 = (50 / (π(5)²)) * 360.

Front

What is the area of a circle with a radius of 4 cm?

Back

Area = πr² = π(4)² = 16π cm².

Front

How do you convert radians to degrees?

Back

Degrees = Radians * (180/π).