Rumus-rumus yang dijumpai pada materi matematika SMP LINGKARAN
A. Keliling Lingkaran dan Luas Lingkaran
Rumus Keliling
K = keliling
r = jari-jari lingkaran
D = diameter lingkaran
r = jari-jari lingkaran
D = diameter lingkaran
D = 2 × r
r = D : 2
Rumus Luas
L = luas lingkaran
D = diameter
r = jari-jari lingkaran
B. Sudut Pusat dan Sudut Keliling Lingkaran
∠AOC = sudut pusat
∠ ABC = sudut keliling
Sudut pusat yang menghadap ke diameter lingkaran
∠ABC = ∠ ADC = 90°
Sudut pusat yang menghadap ke diameter lingkaran
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vAB27wZ6NQmPyRjWJpO57t0OgfnSw_0_ujBqCH5Z1yG0X1ocK9wnSjhkcM1X3LoqCtD7aVxrIXD9Qxq8y-j_6CH6j_YtcEh7lzPviurf-jXfXcdOrv0SSbu7yXIb2Jt5XjSI4N6j2enwmJTQ=s0-d)
∠ABC = ∠ ADC = 90°
Sudut keliling yang menghadap busur sama besarnya sama.
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sXmxuK_Pd2uLMcikQmtV8Q_EsIpKzz4QdjTQHNx06B7sT5KB_DtEsz08NzKMOaRpDj34s5DbNtVZVjMiW-LxQur-Rq7JyH2XQRmxNZ9hS-u7J5pB_cItwLoWj5oKgqe2wZi-2LTuH8-ewwHw=s0-d)
∠ ABD = ∠ACD
C. Panjang busur dan Luas juring
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tALhy9F6FDU9Q3GsNzdZ3kYhR01mVoMFIXs9DqG4D3Zz022gv4j8QoOrXUV8KALrhRfLq5heZSz125lD_V5UQXisfs_Hat-blxyjxPJNlfZ2SDTVlRsOUbrpqTJk2R4ABLltR3pg4BOWDVOQ=s0-d)
Panjang busur AB:
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_so7i9GSDowyd5NV0E8qe1z17eeQ6HiBJ3xHUQ85LaYm79xFy4gHrZX1ugOsMrkyikHK7pPW3Y0Qol1pA6Ue-cvvB0GI9tYKbUyaJd3SfVTYwpJIBAf8B1O2mb3VhG4quWRP2gLw6xpSOAE=s0-d)
Luas juring AOB:
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vTLIIQWzGUZg7P5onxJSv01vCsOTPAPX3VRDxaGBbXmicY0-UEt07DLx526uHLEMYFYjyX4eHFgppVI3qrue6mVuHebi9X481VuSY3kCt6RISLnQb-av0bLH14BS0ci15qmaxefL-xHPfyBw=s0-d)
∠ABC = ∠ ADC = 90°
Sudut keliling yang menghadap busur sama besarnya sama.
∠ ABD = ∠ACD
C. Panjang busur dan Luas juring
Panjang busur AB:
Luas juring AOB:
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