GCSE Maths - Area of a Sector and Length of an Arc of a Circle (Circles Part 3) #108

This video tutorial explains how to calculate the area of a sector and the length of an arc in a circle. It begins with a recap of key terms and introduces formulas for these calculations. The video emphasizes understanding the concept of sectors and arcs as fractions of a circle, using examples with simple and complex angles. It concludes with a practical example, demonstrating how to apply the formulas to solve problems.

What is a minor sector in a circle?

• A sector with an angle of 360 degrees

• A sector with an angle equal to 180 degrees

• A sector with an angle less than 180 degrees

• A sector with an angle greater than 180 degrees

Why is it important to understand the concept behind the formulas for sectors and arcs?

• It is required for all math exams

• It makes solving tricky questions easier

• It is only useful for simple angles

• It helps in memorizing the formulas

If a sector has an angle of 90 degrees, what fraction of the circle does it represent?

• One fifth

• One quarter

• One third

• One half

How do you express a sector with an angle of 113 degrees as a fraction of a circle?

• 113/90

• 113/270

• 113/360

• 113/180

What is the formula to calculate the area of a sector?

• x/180 times pi r squared

• x/180 times 2 pi r

• x/360 times 2 pi r

• x/360 times pi r squared

In the example with a 70-degree angle and a radius of 14, what is the area of the sector?

• 130 square centimeters

• 100 square centimeters

• 110 square centimeters

• 120 square centimeters

What is the length of the arc in the example with a 70-degree angle and a radius of 14?

• 18.1 centimeters

• 15.1 centimeters

• 16.1 centimeters

• 17.1 centimeters