Kuwana nzvimbo yedenderedzwa: formula uye mienzaniso

denderedzwa mufananidzo wejometri; seti yezvibodzwa mundege inorara mukati medenderedzwa.

Area formula

nharaunda

Nzvimbo yedenderedzwa (S) inoenzana nechigadzirwa chenhamba π uye mativi mana akaenzana.

S = π ⋅ r ²

Denderedzwa radius (r) chikamu chemutsetse chinobatanidza pakati pacho uye chero poindi padenderedzwa.

Cherechedza: pakuverenga kukosha kwenhamba π yakapoteredzwa kusvika ku3,14.

By dhayamita

Nzvimbo yedenderedzwa chikamu chimwe muzvina chigadzirwa chenhamba π uye mativi akaenzana paupamhi hwayo;

Denderedzwa dhayamita (d) yakaenzana neradii mbiri (d = 2r). Ichi chikamu chemutsara chinobatanidza zvibodzwa zviviri zvakapesana padenderedzwa.

Mienzaniso yemabasa

Basa 1

Tsvaga nzvimbo yedenderedzwa ine radius ye9 cm.

Sarudzo:

Isu tinoshandisa fomula umo radius inobatanidzwa:

S = 3,14 ⋅ (9 cm)² = 254,34 masendimita².

Basa 2

Tsvaga nzvimbo yedenderedzwa ine dhayamita ye8 cm.

Sarudzo:

Isu tinoshandisa fomula umo dhayamita inooneka:

S = 1/4 ⋅ 3,14 ⋅ (8 cm)² = 50,24 masendimita².