Pāngarau

āhuahanga porowhita

circle geometry

tūingoa

WHAKAMĀRAMA

Ko te mātauranga pāngarau e pā ana ki te porowhita, tōna hanga, ōna wāhanga me ngā hononga o tētahi wāhanga ki tētahi.

Mathematical knowledge about circles, their shape, their parts and the relationships between parts.

Tauira KŌrero

Ko te āhuahanga porowhita tētahi kaupapa o roto i te whakamātautau.

Ko te hononga o te paenga, te pūtoro me te whitianga tētahi āhuatanga o roto i te āhuahanga porowhita.

Kua mau pai i a ia te mātauranga matua o te āhuahanga porowhita.

WhakamĀrama Āpitihanga

Ko ētahi wāhanga matua o te porowhita:

Mēnā ka tohua ētahi pūwāhi e rua i te paenga o te porowhita, ko te wāhanga iti o te paenga kei waenganui i aua pūwāhi, ka kīia he pewa iti. Ko te wāhanga nui o te paenga kei waenganui i aua pūwāhi, ka kīia he pewa matua:

Ina tuhia he rārangi torotika mai i tētahi pūwāhi i te paenga ki tētahi atu pūwāhi, ka kīia he aho o te porowhita. Ka hua ake he tapahanga iti, he tapahanga matua hoki:

Ina honoa ētahi pūwāhi e rua o te paenga me te o te porowhita, ka hua ake he pewanga iti, he pewanga matua hoki:

He pewa iti te wāhanga o te paenga kei waenganui i te M me te N. Ina honoa te M me te N ki tētahi atu pūwāhi i te paenga, ka hua ake he koki rāroto. He koki pū ka hua ake i te hononga o te M me te N ki te o te porowhita. He haurua te koki rāroto o te koki pū:

Mēnā he ōrite te rahi o ngā pewa e rua o te porowhita, he porowhita haurua ka hua ake. E 90° te rahi o te koki rāroto o tētahi porowhita haurua:

Tauira KŌrero

Ko te āhuahanga porowhita tētahi kaupapa o roto i te whakamātautau.

Ko te hononga o te paenga, te pūtoro me te whitianga tētahi āhuatanga o roto i te āhuahanga porowhita.

Kua mau pai i a ia te mātauranga matua o te āhuahanga porowhita.

WhakamĀrama Āpitihanga