segiempat berada dalam ½ lingkaran berjari-jari 2 cm. luas maksimum yang mungkin dari segiempat tersebut adalah.
a. 2 cm²
b. 2√2 cm²
c. 4 cm²
d. 4√2 cm²
e. 4√3 cm²

Question

Pertanyaan

Grade: Education Mata Pelajaran: matematika

Ditanyakan oleh: USER9579

194 Dilihat 194 Jawaban

Jawaban (194)

USER1879 · Accepted Answer

r² = (1/2 p)² + l²
2² = 1/4 p² + l²
4 = 1/4 p² + l² ..... kalikan dengan 4
16 = p² + 4 l²
p² = 16 - 4l²
p = (16 - 4.l²)^(1/2)

Lpp = p . l
= (16 - 4.l²)^(1/2) .l ⇒ L,mencapai maksimal jika L' = 0
L'pp = 4.l (16 - 4.l²)^( - 1/2) . l + (16 - 4. l²)^(1/2) .1
0 = 4 l² (16 - 4.l²)^( - 1/2) + (16 - 4.l²)^(1/2)
- (16 - 4.l²)^1/2) = 4.l² (16 - 4.l²)^( - 1/2) ...... pangkatkan 2
16 - 4.l² = 16 .l^4 / (16 - 4l²)
(16 - 4.l²)(16 - 4.l²) = 16 .l^4
(16 - 4.l²)² = 16 . l^4 ... tarik akar kuadrat
16 - 4.l² = 4 .l²
16 = 4.l² + 4.l²
16 = 8 .l²
l² = 16/8
l² = 2
l = √2
p² = 16 - 4.l²
p² = 16 - 4 (√2)²
= 16 - 4 .2
= 16 - 8
= 8
p = √8

jadi, L.maksimum = p .l
= √8 . √2
= √16
= 4 cm² ..... jawaban : C

catatan : gunakan rumus rumus turunan
L = u .v
L' = u' .v + u. v'

Dijawab pada tanggal 30 Agustus 2025

segiempat berada dalam ½ lingkaran berjari-jari 2 cm. luas maksimum yang mungkin dari segiempat tersebut adalah.a. 2 cm²b. 2√2 cm²c. 4 cm²d. 4√2 cm²e. 4√3 cm²

Pertanyaan

Jawaban (194)

Artikel Terkait

balok abcd efgh dengan ab=8cm,bc= 4cm, dan cg=6cm. arak antara ab dan gh adalaha.√52b.√80c.√100d.√50e.√40

Scrie numere de forma abcd folosind numai cifre impare​

What are the common causes of the E298 error?

How can I troubleshoot the E298 error if my thermostat isn't connecting to the internet?

What does the E298 error on a Nest Thermostat mean?

What is the slope of the line that passes through the points(-1,2) and (-4,3)?

buatlah 4 ide pokok dengan tema gotong royong

15, Scrie numerele:20 725; 662 713; 438 793; 9 687; 346 865, 684 321.a) ca sumă de doi termeni,b) ca sumă de trei termeni.​

Valoarea de adevăr a propoziţiei 3 ∈ {0, 1, 2, 3, 4, 5} este …

In the bok To Kill A Mockingbird, ch. 8-9, 1) What did Scout's Uncle Jack learn from Scout and Atticus? 2) Identify Cecil Jacobs.

tentukan hasil dari : -5 (8p²q)³

A salsa recipe uses green pepper, onion, and tomato in the extended ratio 2:5:9. How many cups of onion are needed to make 96 cups of salsa

How do I write dialogue that is easy for young children to understand?

Please provide the propagation history of the following domains:laowangdizhi.icu, laowangfb.icu, laowangfzu.icu, laowangld.icu, laoweiwang.icu, laowu.icu, laowu923.icu, laowua.icu, laowucloud.icu, laoxiechuanmei.icu

In the feminine mystique the author argued that

explica,in doua-trei randuri sensul expresiei a iesi la capat?

What does the 'Tinder Error: Failed to Match' message typically indicate?

segiempat berada dalam ½ lingkaran berjari-jari 2 cm. luas maksimum yang mungkin dari segiempat tersebut adalah.
a. 2 cm²
b. 2√2 cm²
c. 4 cm²
d. 4√2 cm²
e. 4√3 cm²

balok abcd efgh dengan ab=8cm,bc= 4cm, dan cg=6cm. arak antara ab dan gh adalaha.√52
b.√80
c.√100
d.√50
e.√40

Scrie numere de forma abcd folosind numai cifre impare

15, Scrie numerele:
20 725; 662 713; 438 793; 9 687; 346 865, 684 321.
a) ca sumă de doi termeni,
b) ca sumă de trei termeni.

In the bok To Kill A Mockingbird, ch. 8-9,
1) What did Scout's Uncle Jack learn from Scout and Atticus?
2) Identify Cecil Jacobs.

tentukan hasil dari :
-5 (8p²q)³

Please provide the propagation history of the following domains:
laowangdizhi.icu, laowangfb.icu, laowangfzu.icu, laowangld.icu, laoweiwang.icu, laowu.icu, laowu923.icu, laowua.icu, laowucloud.icu, laoxiechuanmei.icu