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_t9Ijlrj8yGOcWoOtjXOyRQTwa2FmbkUEkOZ3DMc7KiB5Wc3qRooQQOP2d_LaEhDDH4CoueO8NabTGIarzpYAMtjL3En0AetAXweaiU2Y7ah3L5OzHdzqarCwU6AX5BGrU420_ZmcV1_gN4Vw=s0-d)
∠ABC = ∠ ADC = 90°
Sudut keliling yang menghadap busur sama besarnya sama.
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_un_DnHLafss8kBfElOPNP9SIkcdnAseNt9CxComIqSOeTwArE28VeCnW_X94VAyFEroVYPqhQBUlTdhpAMpKhWCvIHhzRe8FmVohICvhXfrhW_Sm02kJ_PqLxSguLoKjpH9um0UCW54FiP-A=s0-d)
∠ ABD = ∠ACD
C. Panjang busur dan Luas juring
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tRuIznHmBLI6MbzJlQW70m-0Evfj9mbFIvf82CzSUSZDiy4FcndgyU17XUuq7CGlyyJu9V_WM6dNOYrhdYw0YZC8Zf9SdxQoq_RLWd_MHNM0XJc-v0D2OE0I6yG9XVmp8B8CtMHHZNiPrIxA=s0-d)
Panjang busur AB:
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_shQk_pIjl3J0l0sbD9Yb-_cHngheIafQf1R1mlV6ZoQ0Z4S-9FI77VvqSDCHExBgrv9V-NdEz4HDWnpHamgr7528yMJL1VFVGgJODWfn6mz47qff36TOwYeCjy0v0Okbf1R9KtvKmlZPj3=s0-d)
Luas juring AOB:
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sgvSXis6Wnw_shIaBfKLL_eAfMGie0z_XM0SUZoxJ-pLp_AhbfAFo9DqWdl3A7e68dOfB3IZnJzx52DwO470U6jO5pRm5u4eX0XnfQgJgg4D41QUVUzjT28BtDWPR7y-0zN7rZXKDrkVbbrA=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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