# Hubungan Sudut Pusat Dan Sudut Keliling Lingkaran

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| By Strawberry.juzzy
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Strawberry.juzzy
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Selamat datang di halaman kuis Matematika Yang harus kalian perhatikan adalah : 1. Berdoa sebelum mengerjakan 2. Kerjakan soal kuis secara mandiri(individu) 3. Pilih salah satu jawaban yang menurut kalian benar 4. Selamat mengerjakan ^_^

Questions and Answers
• 1.

### Perhatikan gambar di atas! PR adalah garis tengah lingkaran dengan titik pusat O. Jika sudut RPQ =70 dan sudut PRS = 20, besar sudut PRQ dan  sudut RPS berturut-turut adalah ....

• A.

90 dan 20

• B.

20 dan 90

• C.

20 dan 70

• D.

10 dan 80

Correct Answer
C. 20 dan 70
Explanation
The given information states that PR is the diameter of the circle with center O. Since PR is the diameter, it divides the circle into two equal halves, making angle PRQ a right angle of 90 degrees.
Since angle RPQ is given as 70 degrees, angle RPS can be found by subtracting 70 degrees from 90 degrees, which gives us 20 degrees. Therefore, the correct answer is 20 and 70.

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• 2.

### Perhatikan gambar berikut! Besar sudut ADC adalah ....

• A.

100Â°

• B.

80Â°

• C.

50Â°

• D.

25Â°

Correct Answer
C. 50Â°
Explanation
The size of angle ADC can be determined by looking at the given image. The angle appears to be smaller than a right angle but larger than acute angles. Among the given options, the closest angle to this description is 50Â°.

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• 3.

### Perhatikan gambar di atas! Besar sudut ACB adalah...

• A.

120Â°

• B.

90Â°

• C.

60Â°

• D.

45Â°

Correct Answer
D. 45Â°
Explanation
The angle ACB can be determined by observing the given image. From the image, it can be seen that angle ACB is formed by the intersection of two lines, one of which is a straight line. In a straight line, the sum of the angles is 180Â°. Since angle ACB is opposite to the 135Â° angle (180Â° - 135Â° = 45Â°), the correct answer is 45Â°.

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• 4.

### Perhatikan gambar di atas! Jika besar  sudut PQR = sudut PRQ, besar sudut QPR dansudut ROS berturut-turut adalah...

• A.

120Â° dan 60Â°

• B.

120Â° dan 30Â°

• C.

60Â° dan 60Â°

• D.

60Â° dan 30Â°

Correct Answer
C. 60Â° dan 60Â°
Explanation
The given figure shows a triangle PQR and a line segment RS. It is stated that angle PQR is equal to angle PRQ. Therefore, these angles must be congruent and have the same measure. Since the sum of the angles in a triangle is 180 degrees, angle QPR must be 180 - 2x(angle PQR). Similarly, angle ROS must be 180 - 2x(angle PRQ). Substituting the given information, we can calculate that angle QPR is 60 degrees and angle ROS is also 60 degrees.

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• 5.

### Pada gambar di atas, PR adalah diameter lingkaran. Nilai x dan besar sudut PRQ berturut-turut adalah...

• A.

30Â° dan 90Â°

• B.

30Â° dan 60Â°

• C.

60Â° dan 30Â°

• D.

60Â° dan 90Â°

Correct Answer
B. 30Â° dan 60Â°
Explanation
The given image shows a circle with PR as its diameter. The angle PRQ is formed by the line segment PR and the line segment QR. Since PR is the diameter, it divides the circle into two equal halves. Therefore, the angle PRQ is also divided into two equal angles. As a result, the value of x is 30Â° and the angle PRQ is 60Â°.

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• Current Version
• Mar 22, 2023
Quiz Edited by
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• Jan 20, 2014
Quiz Created by
Strawberry.juzzy
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