Area problems
- 1. A quadrilateral is inscribed in a circle. If the opposite angles of the quadrilateral are equal and length of its adjacent sides are 6 cm and 8 cm, what is the area of the circle?
Options- A. 64? sq cm
- B. 25? sq cm
- C. 36? sq cm
- D. 49? sq cm Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 25? sq cm
- 2. Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 2:3, and area of ? APQ is 8 sq cm, what is the area of trapezium PQCB?
Options- A. 50 sq cm
- B. 18 sq cm
- C. 42 sq cm
- D. 14 sq cm Also asked in: AIEEE, Bank Exams
Correct Answer: 42 sq cm
- 3. The cost of leveling a triangular piece of land whose sides are 72 m. 30 m and 78 in respectively at the rate of 20 paisa per square metre is:
Options- A. ? 220
- B. ? 200
- C. ? 216
- D. ? 210 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: ? 216
- 4. A sector of 120, cut out from a circle, has an area of 667cm2 . Find the radius of the circle ?
Options- A. 1
- B. 2
- C. 3
- D. 4 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 3
Explanation:
Let the radius of the circle be r cm. Then,
r=3.
- 5. There is a square field of area ?X? square meters. A cylindrical ditch of radius 7 meters and depth 2 meters is dug, and the earth is taken out and spread over the remaining part of the square field, the height of square field which goes up by 0.77 meters. What is the value of ?X? ?
Options- A. 548 sq. m
- B. 524 sq. m
- C. 518 sq. m
- D. 554 sq. m Also asked in: AIEEE, Bank Exams
Correct Answer: 554 sq. m
Explanation:
Volume of the cylindrical ditch = ?rxrh = 22/7 ×7×7×2 = 308 sq.m
Area of remaining field = (X ??rxr) sq.m
= (X ? 154)
ATQ ?
(X ? 154) ×0.77 = 308
(X ? 154) = 400
X= 554 sq.m
- 6. Two concentric circles form a ring. The inner and outer circumferences of ring are 5187 m and 3527 m respectively. Find the width of the ring.
Options- A. 4
- B. 5
- C. 6
- D. 7 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 4
Explanation:
Let the inner and outer radii be r and R metres.
Then
=> Width of the ring = (R - r) = (12 - 8) m = 4 m.
- 7. Find the perimeter of the rectangle or square with the given dimensions l = 5 feet, w = 2 feet?
Options- A. 11ft
- B. 13ft
- C. 14ft
- D. 15ft Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 14ft
Explanation:
We know that,
Perimeter of rectangle = 2(L+W) = 2(5 + 2) = 2 (7) = 14 fts.
- 8. The circumference of a circle is 88 cm, find its area?
Options- A. 616 sq cm
- B. 308 sq cm
- C. 154 sq cm
- D. 77 sq cm Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 616 sq cm
- 9. Area of the circle inscribed in a square of diagonal 6?2 cm (in sq cm) is
Options- A. 9 ?
- B. 6 ?
- C. 3 ?
- D. 9?2 ? Also asked in: AIEEE, Bank Exams
Correct Answer: 9 ?
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