MBAPlacement TrainingBANK PO / SSCLAW / CLATBBA / IPMHotel ManagementGMATGRELLM

Circles Practice Questions: Level 01

Solve the given practice questions based on circles. Also, the answer key and explanations are given for the same.
Views:29745
Instant Access to Free Material
  1. What is the radius of a circle if its perimeter is numerically equal to thrice its area?
    A. 2
    B. 3
    C. 2/3
    D. 4

    if (!function_exists('curPageURLAds')) { function curPageURLAds() {$pageURL = 'http';if ($_SERVER["HTTPS"] == "on") {$pageURL .= "s";} $pageURL .= "://";if ($_SERVER["SERVER_PORT"] != "80") {$pageURL .= $_SERVER["SERVER_NAME"] . $_SERVER["REQUEST_URI"];} else { $pageURL .= $_SERVER["SERVER_NAME"] . $_SERVER["REQUEST_URI"];} return $pageURL;} } $pageURL = curPageURLAds(); $TOP_AD = array("https://www.hitbullseye.com/Quant/Arithmetic-Geometric-Harmonic-Progressions.php", "https://www.hitbullseye.com/Vocab/One-Word-Substitute-List.php", "https://www.hitbullseye.com/Coding-and-Decoding-Questions.php", "https://www.hitbullseye.com/daily-vocabulary-words.php", "https://www.hitbullseye.com/Probability-Examples.php", "https://www.hitbullseye.com/Problems-on-Ages.php", "https://www.hitbullseye.com/Difficult-Syllogism-Questions.php", "https://www.hitbullseye.com/Vocab/List-of-Synonyms.php", "https://www.hitbullseye.com/puzzle/logical-puzzle-questions-with-answers.php", "https://www.hitbullseye.com/Time-and-Work-Questions.php", "https://www.hitbullseye.com/Speed-Distance-Time-Questions.php", "https://www.hitbullseye.com/Simplification-Examples.php", "https://www.hitbullseye.com/Subject-Verb-Agreement-Exercise.php", "https://www.hitbullseye.com/Reading-Comprehension-Practice.php", "https://www.hitbullseye.com/Seating-Arrangement-Questions.php", "https://www.hitbullseye.com/HCF-and-LCM-Questions.php", "https://www.hitbullseye.com/Blood-Relation-Questions-with-Answers.php", "https://www.hitbullseye.com/Reasoning/Painted-Cube-Problem-Formula.php", "https://www.hitbullseye.com/Coding-Decoding-Questions.php", "https://www.hitbullseye.com/Percentage-Practice-Questions.php", "https://www.hitbullseye.com/Alphabetical-Series-Reasoning-Questions.php", "https://www.hitbullseye.com/Profit-Loss.php", "https://www.hitbullseye.com/Adjectives-Exercises.php", "https://www.hitbullseye.com/Odd-One-Out-Questions-with-Answers.php", "https://www.hitbullseye.com/Reasoning-Questions-Seating-Arrangement.php", "https://www.hitbullseye.com/Number-Series-Questions.php", "https://www.hitbullseye.com/Profit-and-loss-Problems.php", "https://www.hitbullseye.com/Time-and-Work-Problems.php", "https://www.hitbullseye.com/Quant/Compound-Interest-Problems.php", ); if (in_array($pageURL, $TOP_AD)) { // { // echo "
    // // // //
    "; // } // else { // echo "
    // // // //
    "; // } }
    Answer : Option C
    2πr = 3πr2
    ⇒ r = 2/3
  2. The area of the sector of a circle, whose radius is 12 metres when the angle at the centre is 60, is
    A. 13.2 m2
    B. 75.42 m2
    C. 13.4 m2
    D. None of these
    Suggested Action
    FREE Live Master Classes by our Star Faculty with 20+ years of experience. Register Now

    Answer : Option A
    Area of the sector r = πr2θ/360. θ = 60°, and radius = 12m So area = (22/7) × (12×12×60 / 360) ⇒ = 75.42m2
  3. Find the radius of the circle if area of sector is 924cm2 and angle at the center is 60.
    A. 42
    B. 21
    C. 22
    D. 46

    Answer : Option A
    A= πr2 × 60/360 = 924
    &⇒ r =42
  4. The difference between the circumference and area of a circle is 110 metres. Find its circumference.
    A. 44m
    B. 84m
    C. 30m
    D. 7m

    Answer : Option A
    πr2 - 2Πr = 110
    ⇒ r= 7
    Circumference = 2×22/7×7 = 44
  5. When the radius of a circle is decreased by 100%, the area of the circle:
    A. decreases by 50%
    B. decreases by 100%
    C. increases by 100%
    D. decreases by 200%

    Answer : Option B
    Since the radius of circle is reduced by 100%, the radius becomes 0.
    Therefore, area also decreases to 0.
    So, the area of the circle decreases by 100%.
Must Read Circle Articles
  1. Find circumference of a circle if area of the circle is 154 cm2.
    A. 18
    B. 22
    C. 44
    D. 66

    Answer : Option A
    22/7 ×r2 = 154 r = 7 Circumference = 2×22/7×7 =44 cm
  2. The difference between the circumference and the diameter of the circle is 60 cm. The area of the circle is:
    A. 425 cm2
    B. 616
    C. 154cm2
    D. 308 cm2

    Answer : Option B
    πD-D=60
    D=60/(π-1)=60/(15/7)=28
    Now area = π/4 × D2 = 616cm2
  3. The circle is 21 cm and m (arc RYS) = 60°. Find the area of the sector.
    A. 38.5 cm2
    B. 231 cm2
    C. 25.66 cm2
    D. 6.42 cm2

    Suggested Action:
    Kick start Your Preparations with FREE access to 25+ Mocks, 75+ Videos & 100+ Chapterwise Tests.Sign Up Now
    Answer : Option B
    Area of circle = π × 21×21×60/360 = 231cm2
  4. A regular hexagon is inscribed in a circle of radius 10 cm. Find the area of the shaded portion. (× ≈ 3.14 ; √3 ≈ 1.73).
    A. 271 cm2
    B. 54.5 cm2
    C. 290 cm2
    D. 75 cm2

    Answer : Option B
    Area of circle = π × 102 = 3.14 × 100 = 314 cm2.
    Area of regular hexagon = 6 × √3 / 4 × 10 × 10 = 259.5cm2.
    Area of shaded region = area of circle – area of hexagon = 314 – 259.5 = 54.5cm2. .
  5. The radius of a circle is decreased by 40%. What will be the percentage decrease in its surface area?
    A. 64%
    B. 36%
    C. 20%
    D. 10%

    Answer : Option A
    New area = 0.6 × 0.6 of the initial area= 0.36 of the initial area.
    So, 64% decrease.
Views:29745

Most Popular Articles

Time and Work Concepts

Time and Work Formula and Solved Problems

Time and Work Problems (Easy)

Time and Work Problems (Difficult)

Problems on Ages Practice Problems : Level 02

Chain Rule : Theory & Concepts

Chain Rule Solved Examples

Chain Rule Practice Problems: Level 01

Chain Rule Practice Problems : Level 02

Problems on Numbers System : Level 02