Latihan : Sisi Empat Kitaran

1. Dalam setiap rajah yang berikut, O ialah pusat bulatan. Cari nilai x dan y.

X=107, y=108

X=108, y=72

X=108, y=107

X=107, y=35

In each of the given diagrams, the point O represents the center of a circle. To find the values of x and y, we need to look for the diagram where x=108 and y=107.

Explanation

In each of the given diagrams, the point O represents the center of a circle. To find the values of x and y, we need to look for the diagram where x=108 and y=107.

2. Dalam setiap rajah yang berikut, O ialah pusat bulatan. Cari nilai x dan y.

X=70, y=124

X=70, y=110

X=80, y=104

X=80, y=124

Based on the given options, the correct answer is x=70, y=124. This means that in the given diagram, the center of the circle is at coordinates (70, 124).

Explanation

Based on the given options, the correct answer is x=70, y=124. This means that in the given diagram, the center of the circle is at coordinates (70, 124).

3. Rajah di sebelah menunjukkan sisi empat kitaran PQRS. POS ialah diameter bulatan dan PQ=QR. Kira ∠QPS.

56

62

34

28

The angle QPS can be determined by using the property of a circle where the angle formed by a diameter and a chord is always 90 degrees. Since POS is a diameter and PQ=QR, we can conclude that angle QPS is 90 degrees. Therefore, the correct answer is 62.

Explanation

The angle QPS can be determined by using the property of a circle where the angle formed by a diameter and a chord is always 90 degrees. Since POS is a diameter and PQ=QR, we can conclude that angle QPS is 90 degrees. Therefore, the correct answer is 62.

4. Dalam rajah di sebelah, ABCD ialah sisi empat kitaran. Kira ∠BCD.

135

118

73

107

The question asks to calculate the angle BCD. In a circle, the measure of an angle formed by a chord is half the measure of the intercepted arc. Since BCD is an angle formed by chord CD, its measure is half the measure of the intercepted arc CD. The answer 107 is obtained by dividing the sum of the other three angles (135+118+73) by 2.

Explanation

The question asks to calculate the angle BCD. In a circle, the measure of an angle formed by a chord is half the measure of the intercepted arc. Since BCD is an angle formed by chord CD, its measure is half the measure of the intercepted arc CD. The answer 107 is obtained by dividing the sum of the other three angles (135+118+73) by 2.

5. Dalam rajah di sebelah, BCDE ialah sisi empat kitaran dan ABC ialah garis lurus. Cari nilai x dan y.

X=116, y=148

X=148, y=148

X=116, y=116

X=148, y=116

The answer x=116, y=116 is correct because in the given diagram, BCDE is a quadrilateral with sides BC, CD, DE, and EB forming the shape of a square. The line ABC is a straight line passing through the square. Since the opposite sides of a square are parallel and equal in length, the length of BC is equal to the length of DE, and the length of CD is equal to the length of EB. Therefore, x and y both represent the length of BC and CD, which is 116 units.

Explanation

The answer x=116, y=116 is correct because in the given diagram, BCDE is a quadrilateral with sides BC, CD, DE, and EB forming the shape of a square. The line ABC is a straight line passing through the square. Since the opposite sides of a square are parallel and equal in length, the length of BC is equal to the length of DE, and the length of CD is equal to the length of EB. Therefore, x and y both represent the length of BC and CD, which is 116 units.