Circle and Triangle Area Calculations

The video tutorial walks through solving a geometry problem from exercise 12.3, focusing on finding the area of a shaded region in a circle. It begins by introducing the problem and given measurements, then proceeds to calculate the squares of the given lengths. The tutorial continues with finding the area of a semicircle and subtracting the area of a triangle to determine the shaded region's area. The final answer is calculated and presented, concluding the problem-solving process.

What is the length of PQ given in the problem?

• 36 cm

• 12 cm

• 24 cm

• 48 cm

What is the length of PR given in the problem?

• 11 cm

• 9 cm

• 5 cm

• 7 cm

What is the center of the circle referred to in the problem?

• P

• O

• B

• A

What is the square of 24?

• 576

• 484

• 625

• 529

What is the square of 7?

• 64

• 36

• 49

• 81

What is the next step after calculating the squares of given lengths?

• Subtract the squares

• Add the squares

• Find the area of the semicircle

• Find the area of the triangle

What is the formula for the area of a semicircle?

• πd

• πr²

• πr²/2

• 2πr

What operation is performed after finding the area of the semicircle?

• Add the area of the triangle

• Divide by the area of the triangle

• Subtract the area of the triangle

• Multiply by the area of the triangle

What is the value of the radius used in the semicircle calculation?

• 25

• 50

• 25/2

• 12.5

What is the value of PR used in the triangle area calculation?

• 8

• 5

• 6

• 7