Hubungan Sudut Pusat Dan Sudut Keliling Lingkaran

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

100°

80°

50°

25°

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 50°.

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 50°.

2. 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 ....

90 dan 20

20 dan 90

20 dan 70

10 dan 80

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.

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.

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

120°

90°

60°

45°

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 180°. Since angle ACB is opposite to the 135° angle (180° - 135° = 45°), the correct answer is 45°.

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 180°. Since angle ACB is opposite to the 135° angle (180° - 135° = 45°), the correct answer is 45°.

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

30° dan 90°

30° dan 60°

60° dan 30°

60° dan 90°

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 30° and the angle PRQ is 60°.

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 30° and the angle PRQ is 60°.

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

120° dan 60°

120° dan 30°

60° dan 60°

60° dan 30°

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.

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.