AP®︎ Calculus BC: Topic 9.8 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 9.8 of AP Calculus BC – Find the Area of a Polar Region or the Area Bounded by a Single Polar Curve.

Questions List

Topic 9.8

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10

Question 1 Easy

For 1.2≤θ≤1.31.2 \leq \theta \leq 1.3, the region swept by the segment from the pole to the curve r=f(θ)r=f(\theta) is approximated by a circular sector of radius f(1.25)=3f(1.25)=3 and central angle 0.10.1 radian.

What is the area of this sector?

A0.300.30
B0.450.45
C0.900.90
D0.150.15

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 9.8: Find the Area of a Polar Region or the Area Bounded by a Single Polar Curve

Learning Objective: CHA-5.D

Calculate areas of regions defined by polar curves using definite integrals.

Essential Knowledge: CHA-5.D.1

The concept of calculating areas in rectangular coordinates can be extended to polar coordinates.

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