From the answer below, which is TRUE about sector.

A straight line segment whose endpoints both lie on the circle

The part of a circle enclosed by two radii of a circle and their intercepted arc.

A portion of the circumference of a circle.

The distance across a circle through its center.

Mathematics Form 2 Circle -2

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| By Projectmmp

Projectmmp

Community Contributor

Quizzes Created: 2 | Total Attempts: 11,130

Questions: 10 | Attempts: 949 | Updated: Mar 21, 2023

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Questions and Answers

1.

Figure shows distance from P to Q is 12cm. the radius is 40cm. Find ° x. Use π = 3.142
- A.
  
  20°
- B.
  
  17.19°
- C.
  
  32.42°
- D.
  
  23°
Correct Answer
B. 17.19°

Explanation
angle / 360 * 2 (3.142)(40) = 12
angle = 17.19 °

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2.

Figure shows a pizza with diameter 20cm. The pizza is cut into 8 equal pieces. Find the length of arc for each pieces. Use π = 3.142
- A.
  
  8.56 cm
- B.
  
  10.11cm
- C.
  
  14.3 cm
- D.
  
  7.855 cm
Correct Answer
D. 7.855 cm

Explanation
45 /360 * 2 (3.142) (20/2) = 7.855cm

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3.

The area of colored sector is 1732.5 cm ². Find circumference of the circle. Use π = 22/7
- A.
  
  31.5 cm
- B.
  
  96 cm
- C.
  
  124.64 cm
- D.
  
  89.5 cm
Correct Answer
A. 31.5 cm

Explanation
angle of centre = 360 - 160 = 200
angle of centre / 360 = area of sector /area of circle

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4.

Use π =3.142. Find circumference of circle with diameter 10cm. The answer isUse � =22—7Use � =22—7

Correct Answer
31.42cm, 31.4cm,31.42,31.4

Explanation
2pi r, 2pi d

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5.

We use the formulae πr² to calculate circumference of a circle.
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
πr² for area of circle.

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6.

Calculate the radius and the circumference of a circle with area 3160 cm². Use π = 3.142
- A.
  
  31.72cm, 178.5cm
- B.
  
  31.72cm, 199.3cm
- C.
  
  40.65cm,199.3cm
- D.
  
  50.90cm, 144.4cm
Correct Answer
B. 31.72cm, 199.3cm

Explanation
r=Squareroot(A /π)
π=3160 π≈31.71528
C=2πr=2*π*31.72 ≈ 199.30264

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7.

Calculate the radius and the area of a circle with circumference 24.43 cm. Use π = 3.142
- A.
  
  4.44cm, 51,5 cm²
- B.
  
  3.89cm, 47.54cm²
- C.
  
  3.89cm, 60 cm²
- D.
  
  4.44cm, 57.65 cm²
Correct Answer
B. 3.89cm, 47.54cm²

Explanation
r=C/2π
=24.43/2*π ≈ 3.89

A=πr2=π*3.89 ≈ 47.53889

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8.

From the answer below, which is TRUE about sector.
- A.
  
  The part of a circle enclosed by two radii of a circle and their intercepted arc.
- B.
  
  A portion of the circumference of a circle.
- C.
  
  The distance across a circle through its center.
- D.
  
  A straight line segment whose endpoints both lie on the circle
Correct Answer
D. A straight line segment whose endpoints both lie on the circle

Explanation
This answer is not true about a sector. A sector is actually the part of a circle enclosed by two radii of a circle and their intercepted arc.

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9.

Calculate the radius and the diameter of a circle with area 202.25 cm ². Use π = 3.142 Match the correct answers.
- A.
  
  11cm, 22cm
- B.
  
  9.36cm, 19.25cm
- C.
  
  8.02cm, 16.4cm
- D.
  
  13.4cm, 26.8cm
Correct Answer
C. 8.02cm, 16.4cm

Explanation
The formula to calculate the area of a circle is A = πr^2, where A is the area and r is the radius. In this case, the area is given as 202.25 cm^2. By rearranging the formula, we can solve for the radius.

202.25 = 3.142 * r^2

Dividing both sides by 3.142, we get:

r^2 = 64.5

Taking the square root of both sides, we find:

r = 8.02 cm

The diameter of a circle is twice the radius, so:

d = 2 * r = 2 * 8.02 = 16.04 cm

Therefore, the correct answer is 8.02 cm for the radius and 16.04 cm for the diameter.

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10.

X is straight line segment that passes through the center of the circle and whose endpoints lie on the circle. X is

Correct Answer
diameter

Explanation
A diameter is a straight line segment that passes through the center of a circle and whose endpoints lie on the circle. In this case, X is described as a straight line segment that passes through the center of the circle and has its endpoints on the circle. Therefore, X is a diameter of the circle.

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Current Version
Mar 21, 2023

Quiz Edited by
ProProfs Editorial Team
Dec 13, 2016

Quiz Created by
Projectmmp

Mathematics Form 2 Circle -2

Figure shows distance from P to Q is 12cm. the radius is 40cm. Find ° x. Use π = 3.142

Figure shows a pizza with diameter 20cm. The pizza is cut into 8 equal pieces. Find the length of arc for each pieces. Use π = 3.142

The area of colored sector is 1732.5 cm ². Find circumference of the circle. Use π = 22/7

Use π =3.142. Find circumference of circle with diameter 10cm. The answer isUse � =22—7Use � =22—7

We use the formulae πr2 to calculate circumference of a circle.

Calculate the radius and the circumference of a circle with area 3160 cm². Use π = 3.142

Calculate the radius and the area of a circle with circumference 24.43 cm. Use π = 3.142

From the answer below, which is TRUE about sector.

Calculate the radius and the diameter of a circle with area 202.25 cm ². Use π = 3.142 Match the correct answers.

X is straight line segment that passes through the center of the circle and whose endpoints lie on the circle. X is

We use the formulae πr² to calculate circumference of a circle.